Pith Number

pith:4W5YVG6I

pith:2015:4W5YVG6IAWCG3T4JYDDUJOMDJ4

not attested not anchored not stored refs pending

Thermodynamical interpretation of the geometrical variables associated with null surfaces

Sumanta Chakraborty, T. Padmanabhan

arxiv:1508.04060 v2 · 2015-08-13 · 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{4W5YVG6IAWCG3T4JYDDUJOMDJ4}

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.

Cited by

1 paper in Pith

Thermodynamics of homogeneous Universes: de Sitter, Bonnor-Melvin and static Einstein

Receipt and verification

First computed	2026-05-18T01:27:39.235411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5bb8a9bc805846dcf89c0c744b9834f1018666c855184118c50d3fb04a8c5f7

Aliases

arxiv: 1508.04060 · arxiv_version: 1508.04060v2 · doi: 10.48550/arxiv.1508.04060 · pith_short_12: 4W5YVG6IAWCG · pith_short_16: 4W5YVG6IAWCG3T4J · pith_short_8: 4W5YVG6I

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/4W5YVG6IAWCG3T4JYDDUJOMDJ4 \
  | 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: e5bb8a9bc805846dcf89c0c744b9834f1018666c855184118c50d3fb04a8c5f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23ae248b395f2497027d8403e6517073c4ac3fd69140d8baa03eae13345beb8c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-08-13T20:05:43Z",
    "title_canon_sha256": "91c310162528b75d39bcda5cc952496e98160c5239a77649dbe5d9335dc00550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04060",
    "kind": "arxiv",
    "version": 2
  }
}