Pith Number

pith:FRDNYEQC

pith:2025:FRDNYEQC5XVADX3RELQVTB54EB

not attested not anchored not stored refs pending

Geometric Entropies and their Hamiltonian Flows

Donald Marolf, Pratik Rath, Xi Dong

arxiv:2501.12438 v2 · 2025-01-21 · 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{FRDNYEQC5XVADX3RELQVTB54EB}

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	2026-07-05T10:10:48.060059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c46dc1202edea01df7122e15987bc204bd53f2a708dd47a1533ef1c996687cc

Aliases

arxiv: 2501.12438 · arxiv_version: 2501.12438v2 · doi: 10.48550/arxiv.2501.12438 · pith_short_12: FRDNYEQC5XVA · pith_short_16: FRDNYEQC5XVADX3R · pith_short_8: FRDNYEQC

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/FRDNYEQC5XVADX3RELQVTB54EB \
  | 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: 2c46dc1202edea01df7122e15987bc204bd53f2a708dd47a1533ef1c996687cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16bcc02a5d215103800e1a06056249b914209e62586a19c01a88e7da5dfffb01",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-01-21T19:00:00Z",
    "title_canon_sha256": "0f664aebd26f3976499de7760a46a5131a97e814b1465ce047557168397ae361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12438",
    "kind": "arxiv",
    "version": 2
  }
}