Pith Number

pith:2PEAT3K6

pith:2016:2PEAT3K6T3WRJM76NFEG4QWBIC

not attested not anchored not stored refs pending

On the thermodynamics of scale factor dual Universes

A.L. Alves Lima, G.M. Sotkov, U. Camara da Silva

arxiv:1609.00393 v1 · 2016-09-01 · hep-th · 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{2PEAT3K6T3WRJM76NFEG4QWBIC}

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	2026-05-18T00:49:51.850475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c809ed5e9eed14b3fe69486e42c1408114a84ce78696549e1baa54e74793ee

Aliases

arxiv: 1609.00393 · arxiv_version: 1609.00393v1 · doi: 10.48550/arxiv.1609.00393 · pith_short_12: 2PEAT3K6T3WR · pith_short_16: 2PEAT3K6T3WRJM76 · pith_short_8: 2PEAT3K6

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/2PEAT3K6T3WRJM76NFEG4QWBIC \
  | 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: d3c809ed5e9eed14b3fe69486e42c1408114a84ce78696549e1baa54e74793ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f20ca0f9607f08563ffa74c1238ff63fbbd12d2a730c6ead55adf2bc4ff922",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-01T20:14:36Z",
    "title_canon_sha256": "ab30b09511c9ece363783b46d6fe44fe792565104213dafc02e4ec32f849866d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00393",
    "kind": "arxiv",
    "version": 1
  }
}