Pith Number

pith:B3RN5SXO

pith:2024:B3RN5SXOIDQ32RGAHTV3OIWWHP

not attested not anchored not stored refs pending

Arrow of time and gravitational entropy in collapse

Rituparno Goswami, Samarjit Chakraborty, Sarbari Guha, Sunil D. Maharaj

arxiv:2402.04188 v2 · 2024-02-06 · 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{B3RN5SXOIDQ32RGAHTV3OIWWHP}

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	2026-07-05T11:50:25.652666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ee2decaee40e1bd44c03cebb722d63be70864474abebafb95603bee645bcaf3

Aliases

arxiv: 2402.04188 · arxiv_version: 2402.04188v2 · doi: 10.48550/arxiv.2402.04188 · pith_short_12: B3RN5SXOIDQ3 · pith_short_16: B3RN5SXOIDQ32RGA · pith_short_8: B3RN5SXO

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/B3RN5SXOIDQ32RGAHTV3OIWWHP \
  | 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: 0ee2decaee40e1bd44c03cebb722d63be70864474abebafb95603bee645bcaf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3304630577679c447f5c23e97be52780ca812c3987f10b3ed8307ebbc9f49f97",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-02-06T17:47:03Z",
    "title_canon_sha256": "35b44af912364cecf014a753f5be2cefb5281f09753835d54e9052274dc003bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.04188",
    "kind": "arxiv",
    "version": 2
  }
}