Pith Number

pith:UY4QATDL

pith:2015:UY4QATDLYG4LHFTLXHKKKVAYIP

not attested not anchored not stored refs pending

Gravitational field equations near an arbitrary null surface expressed as a thermodynamic identity

Krishnamohan Parattu, Sumanta Chakraborty, T. Padmanabhan

arxiv:1505.05297 v2 · 2015-05-20 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UY4QATDLYG4LHFTLXHKKKVAYIP}

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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

1 paper in Pith

Entropic route to Brown-York tensor: A unified framework for null and timelike hypersurfaces

Receipt and verification

First computed	2026-05-18T01:30:07.971202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a639004c6bc1b8b3966bb9d4a5541843de737ef2c110dc2c51784efac325cd83

Aliases

arxiv: 1505.05297 · arxiv_version: 1505.05297v2 · doi: 10.48550/arxiv.1505.05297 · pith_short_12: UY4QATDLYG4L · pith_short_16: UY4QATDLYG4LHFTL · pith_short_8: UY4QATDL

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/UY4QATDLYG4LHFTLXHKKKVAYIP \
  | 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: a639004c6bc1b8b3966bb9d4a5541843de737ef2c110dc2c51784efac325cd83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffbc5b23b5453599cd7f2bc3fd9e5797ffa78e5f5890ece1e85f3cd36cbeeb71",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-05-20T09:30:56Z",
    "title_canon_sha256": "87f394964eb41506cebf456e1b58ac67902a10ef2bea98666d7be2d19ceecedc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05297",
    "kind": "arxiv",
    "version": 2
  }
}