Pith Number

pith:TMYZOUI2

pith:2010:TMYZOUI2E2FTVV4UMHYRRCTP2P

not attested not anchored not stored refs pending

The dark matter of gravitational lensing

Johan Richard, Richard Massey, Thomas Kitching

arxiv:1001.1739 v2 · 2010-01-12 · astro-ph.CO · hep-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{TMYZOUI2E2FTVV4UMHYRRCTP2P}

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

2 papers in Pith

Cosmological coupled black holes immersed in dark sector

Receipt and verification

First computed	2026-05-18T02:10:02.895570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b3197511a268b3ad79461f1188a6fd3d4194f64abfd080cbf69682250372ea8

Aliases

arxiv: 1001.1739 · arxiv_version: 1001.1739v2 · doi: 10.48550/arxiv.1001.1739 · pith_short_12: TMYZOUI2E2FT · pith_short_16: TMYZOUI2E2FTVV4U · pith_short_8: TMYZOUI2

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/TMYZOUI2E2FTVV4UMHYRRCTP2P \
  | 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: 9b3197511a268b3ad79461f1188a6fd3d4194f64abfd080cbf69682250372ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3038dea6b2338f09ad57a21eeba6c9a943dab1b448bab6f61dfcd1d884b6fd",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-01-12T13:14:48Z",
    "title_canon_sha256": "c73e9355146b08176b3da0b5ae3cae7953ec14cda34cc2db6e9a42f5f5a9816c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1739",
    "kind": "arxiv",
    "version": 2
  }
}