Pith Number

pith:PR3VGZ2Q

pith:2010:PR3VGZ2QF7I4GCTSYLVEGSFLT7

not attested not anchored not stored refs pending

Thermodynamics of Lemaitre-Tolman-Bondi Model

Nairwita Mazumder, Ritabrata Biswas, Subenoy Chakraborty

arxiv:1006.2519 v1 · 2010-06-13 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PR3VGZ2QF7I4GCTSYLVEGSFLT7}

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.

Receipt and verification

First computed	2026-05-18T04:22:41.548652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c775367502fd1c30a72c2ea4348ab9fe8b8285d81c125b12bb0bb56bef27b22

Aliases

arxiv: 1006.2519 · arxiv_version: 1006.2519v1 · doi: 10.48550/arxiv.1006.2519 · pith_short_12: PR3VGZ2QF7I4 · pith_short_16: PR3VGZ2QF7I4GCTS · pith_short_8: PR3VGZ2Q

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/PR3VGZ2QF7I4GCTSYLVEGSFLT7 \
  | 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: 7c775367502fd1c30a72c2ea4348ab9fe8b8285d81c125b12bb0bb56bef27b22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ff53bbc3dabaafc0f03c53bc277ec3f258f5eff34a6242af2e31fde2e5768b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-06-13T09:43:57Z",
    "title_canon_sha256": "f20cbc7619e05c02feba2c4ab6b58a8a84f2b2c711c7f3418096dae1472cfcaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.2519",
    "kind": "arxiv",
    "version": 1
  }
}