Pith Number

pith:7WRSQTAH

pith:2011:7WRSQTAHZ2NRIFJQP6D2ECAQLZ

not attested not anchored not stored refs pending

Spherically symmetric inhomogeneous model with Chaplygin gas

D. Panigrahi, S. Chatterjee

arxiv:1108.2433 v2 · 2011-08-11 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WRSQTAHZ2NRIFJQP6D2ECAQLZ}

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

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	2026-05-18T00:50:40.765119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda3284c07ce9b1415307f87a208105e6b7eaaaf3b9143f646b2ca79faa9a66d

Aliases

arxiv: 1108.2433 · arxiv_version: 1108.2433v2 · doi: 10.48550/arxiv.1108.2433 · pith_short_12: 7WRSQTAHZ2NR · pith_short_16: 7WRSQTAHZ2NRIFJQ · pith_short_8: 7WRSQTAH

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/7WRSQTAHZ2NRIFJQP6D2ECAQLZ \
  | 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: fda3284c07ce9b1415307f87a208105e6b7eaaaf3b9143f646b2ca79faa9a66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7e1f1093aca9a9dcdbde2600c2d0ca87427d6831e82c47211122f4aeb77e4b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-11T15:40:09Z",
    "title_canon_sha256": "27b750720d8230b47297f24f72287e8d092904ba0ec14273fb095d46ea723c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2433",
    "kind": "arxiv",
    "version": 2
  }
}