Pith Number

pith:RRZJWQ2M

pith:2012:RRZJWQ2M7GNLN5ZL5SPBO22P6A

not attested not anchored not stored refs pending

Scaling up the extrinsic curvature in asymptotically flat gravitational initial data: Generating trapped surfaces

Niall \'O Murchadha, Shan Bai

arxiv:1212.3699 v1 · 2012-12-15 · 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{RRZJWQ2M7GNLN5ZL5SPBO22P6A}

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	2026-05-18T01:52:37.882545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c729b434cf99ab6f72bec9e176b4ff007b4fe5764957a704996f42b65fc5f13

Aliases

arxiv: 1212.3699 · arxiv_version: 1212.3699v1 · doi: 10.48550/arxiv.1212.3699 · pith_short_12: RRZJWQ2M7GNL · pith_short_16: RRZJWQ2M7GNLN5ZL · pith_short_8: RRZJWQ2M

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/RRZJWQ2M7GNLN5ZL5SPBO22P6A \
  | 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: 8c729b434cf99ab6f72bec9e176b4ff007b4fe5764957a704996f42b65fc5f13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7e24494ca7dd694e4124633ba3fea24f6ed3e37ceb097e61520477bc8731ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-12-15T16:23:42Z",
    "title_canon_sha256": "4f6029b88e8fa94dc000acb06acda55bf654ca4c0cef6dc9565592ecc7560004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3699",
    "kind": "arxiv",
    "version": 1
  }
}