Pith Number

pith:IAWE45NW

pith:2010:IAWE45NWWOJBFA4L3HCBF45LID

not attested not anchored not stored refs pending

Modified gravity emerging from thermodynamics and holographic principle

Yi Zhang, Yun-gui Gong, Zong-Hong Zhu

arxiv:1001.4677 v2 · 2010-01-26 · 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{IAWE45NWWOJBFA4L3HCBF45LID}

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	2026-05-18T04:16:20.635702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

402c4e75b6b39212838bd9c412f3ab40db0d0a0f39318495f71cb70a1cbcaf1d

Aliases

arxiv: 1001.4677 · arxiv_version: 1001.4677v2 · doi: 10.48550/arxiv.1001.4677 · pith_short_12: IAWE45NWWOJB · pith_short_16: IAWE45NWWOJBFA4L · pith_short_8: IAWE45NW

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/IAWE45NWWOJBFA4L3HCBF45LID \
  | 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: 402c4e75b6b39212838bd9c412f3ab40db0d0a0f39318495f71cb70a1cbcaf1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c049865d0dfd3a7db45b0c40d278ed852b87db71e6ce52c7bd5f722c02700172",
    "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": "2010-01-26T13:11:14Z",
    "title_canon_sha256": "11a40d1f63cda44b3c4c3c774fc62a374bd06b565a37aa7b4c9df3d48a13c1f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4677",
    "kind": "arxiv",
    "version": 2
  }
}