Pith Number

pith:VUNYX75D

pith:2010:VUNYX75DDLY67A5QDAFJE2KE7I

not attested not anchored not stored refs pending

Black Holes and Photons with Entropic Force

Bo-Qiang Ma, Xiao-Gang He

arxiv:1003.1625 v2 · 2010-03-08 · hep-th · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUNYX75DDLY67A5QDAFJE2KE7I}

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	2026-05-18T02:08:36.716967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1b8bffa31af1ef83b0180a926944fa3be5d9ad2ded267cba478061f70d94d2

Aliases

arxiv: 1003.1625 · arxiv_version: 1003.1625v2 · doi: 10.48550/arxiv.1003.1625 · pith_short_12: VUNYX75DDLY6 · pith_short_16: VUNYX75DDLY67A5Q · pith_short_8: VUNYX75D

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/VUNYX75DDLY67A5QDAFJE2KE7I \
  | 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: ad1b8bffa31af1ef83b0180a926944fa3be5d9ad2ded267cba478061f70d94d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46c61d149a06745aa1d9357a0d6d769c7a0970534c6c23a5fcd5443de75b384",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-03-08T13:41:35Z",
    "title_canon_sha256": "89ab21b2e369505cb095c34f6f67dde97118ff354a0eeb7b257673ea0bcfb518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1625",
    "kind": "arxiv",
    "version": 2
  }
}