Pith Number

pith:L76QXMJD

pith:1999:L76QXMJDAPOZZPWCWKULOD4K6V

not attested not anchored not stored refs pending

Gravitational Lensing as a Probe of Quintessence

Asantha R. Cooray, Dragan Huterer (University of Chicago)

arxiv:astro-ph/9901097 v2 · 1999-01-08 · 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{L76QXMJDAPOZZPWCWKULOD4K6V}

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

In the Realm of the Hubble tension $-$ a Review of Solutions

Receipt and verification

First computed	2026-07-04T17:25:18.693481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ffd0bb12303dd9cbec2b2a8b70f8af55784ec5a04fdb35e08da4d7b5b929607

Aliases

arxiv: astro-ph/9901097 · arxiv_version: astro-ph/9901097v2 · doi: 10.48550/arxiv.astro-ph/9901097 · pith_short_12: L76QXMJDAPOZ · pith_short_16: L76QXMJDAPOZZPWC · pith_short_8: L76QXMJD

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/L76QXMJDAPOZZPWCWKULOD4K6V \
  | 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: 5ffd0bb12303dd9cbec2b2a8b70f8af55784ec5a04fdb35e08da4d7b5b929607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "522285bc7ba64ce324c7fb77bfa395b73d212f90f7e320349fc5633246cb3df0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-01-08T23:09:47Z",
    "title_canon_sha256": "b8389847b2dab98a2d5e17dffaa00d9c7fda67169278cffeebd0f9868a016212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9901097",
    "kind": "arxiv",
    "version": 2
  }
}