Pith Number

pith:67H76HJK

pith:1996:67H76HJKOXP33K2CZGEE6MCPPU

not attested not anchored not stored refs pending

The Quadruple Gravitational Lens PG1115+080: Time Delays and Models

A. Dressler, A. O. Jaunsen, C. D. Bailyn, C. M. Becker, D. Harmer, D. Mehlert, D. O. Richstone, D. W. Willmarth, E. E. Falco, G. M. Bernstein, G. Wegner, G. Worthey, J. Hjorth, J. L. Tonry, J. N. Hewitt, J. P. Blakeslee, J. R. Thorstensen, K. Gebhardt, L. S. Sparke, M. Mateo, P. Fischer, P. L. Schechter, R. A. Fesen, R. Barr, R. Barvainis, S. J. Bus, T. Hurt

arxiv:astro-ph/9611051 v1 · 1996-11-06 · astro-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67H76HJKOXP33K2CZGEE6MCPPU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

The Hubble Tension and Early Dark Energy

Receipt and verification

First computed	2026-07-04T14:14:57.728325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7cfff1d2a75dfbdab42c9884f304f7d05e5b5219c65bfd73244e1cbd661d865

Aliases

arxiv: astro-ph/9611051 · arxiv_version: astro-ph/9611051v1 · doi: 10.48550/arxiv.astro-ph/9611051 · pith_short_12: 67H76HJKOXP3 · pith_short_16: 67H76HJKOXP33K2C · pith_short_8: 67H76HJK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/67H76HJKOXP33K2CZGEE6MCPPU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f7cfff1d2a75dfbdab42c9884f304f7d05e5b5219c65bfd73244e1cbd661d865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e3ac690d4485baef87f02707764561533738399b6f056234ab7b3a019691b60",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-11-06T22:16:57Z",
    "title_canon_sha256": "644b2a1d0c66a37822092e617338e6fb1208460ed2ad279a190f2ccc283c75f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9611051",
    "kind": "arxiv",
    "version": 1
  }
}