Pith Number

pith:4CLEXRNF

pith:2010:4CLEXRNFZDEQ5YAGPGMX3OUITN

not attested not anchored not stored refs pending

Self-Compactifying Gravity

Beyhan Pulice, Sukru Hanif Tanyildizi

arxiv:1009.4952 v4 · 2010-09-24 · 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{4CLEXRNFZDEQ5YAGPGMX3OUITN}

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	2026-05-18T04:28:45.466551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0964bc5a5c8c90ee00679997dba889b44a38b1a47788134d43171090fc9ed7a

Aliases

arxiv: 1009.4952 · arxiv_version: 1009.4952v4 · doi: 10.48550/arxiv.1009.4952 · pith_short_12: 4CLEXRNFZDEQ · pith_short_16: 4CLEXRNFZDEQ5YAG · pith_short_8: 4CLEXRNF

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/4CLEXRNFZDEQ5YAGPGMX3OUITN \
  | 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: e0964bc5a5c8c90ee00679997dba889b44a38b1a47788134d43171090fc9ed7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48cf18e73a030e1259a4bb61a283046a6df77076f74efdc53b08d13fbc5d041b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-09-24T21:36:53Z",
    "title_canon_sha256": "fdd42335b602bdd79b79f1b773348e6798bd978b5a54c27c523178371fe2ec37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4952",
    "kind": "arxiv",
    "version": 4
  }
}