Pith Number

pith:4M4NSZFR

pith:2003:4M4NSZFREWRPKUDKM5OGGTHDTZ

not attested not anchored not stored refs pending

Nonlocal action for long-distance modifications of gravity theory

A.O.Barvinsky

arxiv:hep-th/0304229 v3 · 2003-04-28 · 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{4M4NSZFREWRPKUDKM5OGGTHDTZ}

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

Hawking area law in quantum gravity

Receipt and verification

First computed	2026-05-18T01:38:48.704606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e338d964b125a2f5506a675c634ce39e4da53f37f7d0e0b5fec2df015758cfd7

Aliases

arxiv: hep-th/0304229 · arxiv_version: hep-th/0304229v3 · doi: 10.48550/arxiv.hep-th/0304229 · pith_short_12: 4M4NSZFREWRP · pith_short_16: 4M4NSZFREWRPKUDK · pith_short_8: 4M4NSZFR

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/4M4NSZFREWRPKUDKM5OGGTHDTZ \
  | 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: e338d964b125a2f5506a675c634ce39e4da53f37f7d0e0b5fec2df015758cfd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9231547d4ec0cb495fb19b8de78b034389c793932a4de6b9ca60541573a0b38a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-04-28T10:24:33Z",
    "title_canon_sha256": "4ecd7464651393ea19e30cc9124c4b8b92c0fb5a89f37e4259421e95c9a7b52b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0304229",
    "kind": "arxiv",
    "version": 3
  }
}