Pith Number

pith:MOOOTKIZ

pith:2016:MOOOTKIZ36IJMJ4FTS34J4LNCS

not attested not anchored not stored refs pending

Geometrothermodynamic model for the evolution of the Universe

Christine Gruber, Hernando Quevedo

arxiv:1611.09970 v1 · 2016-11-30 · 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{MOOOTKIZ36IJMJ4FTS34J4LNCS}

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	2026-05-18T00:36:47.762485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639ce9a919df909627859cb7c4f16d14985521a498fefbc5385bce04a483b05b

Aliases

arxiv: 1611.09970 · arxiv_version: 1611.09970v1 · doi: 10.48550/arxiv.1611.09970 · pith_short_12: MOOOTKIZ36IJ · pith_short_16: MOOOTKIZ36IJMJ4F · pith_short_8: MOOOTKIZ

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/MOOOTKIZ36IJMJ4FTS34J4LNCS \
  | 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: 639ce9a919df909627859cb7c4f16d14985521a498fefbc5385bce04a483b05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9a3ac44cd5859e9d48fddaec5c3746b9ac200c91223b0eb5ca3fd4dec85e810",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-11-30T02:06:56Z",
    "title_canon_sha256": "a8d950dce446448538bde7953f006001063a398092febfeb3cbe5aa863b29dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09970",
    "kind": "arxiv",
    "version": 1
  }
}