Pith Number

pith:VCCDF5JX

pith:2003:VCCDF5JXFG46CUQFPI6HFYNC6E

not attested not anchored not stored refs pending

Extrinsic Curvature Embedding Diagrams

J. L. Lu, W.-M. Suen

arxiv:gr-qc/0301012 v1 · 2003-01-05 · 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{VCCDF5JXFG46CUQFPI6HFYNC6E}

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	2026-05-18T01:39:23.370640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a88432f53729b9e152057a3c72e1a2f12b5d8e1d93f59a66d2c998e7f5896f58

Aliases

arxiv: gr-qc/0301012 · arxiv_version: gr-qc/0301012v1 · doi: 10.48550/arxiv.gr-qc/0301012 · pith_short_12: VCCDF5JXFG46 · pith_short_16: VCCDF5JXFG46CUQF · pith_short_8: VCCDF5JX

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/VCCDF5JXFG46CUQFPI6HFYNC6E \
  | 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: a88432f53729b9e152057a3c72e1a2f12b5d8e1d93f59a66d2c998e7f5896f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2f711b030b2cc0723b3287b4107295ca8ba251181982a5287cec56df363d5d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-01-05T15:22:28Z",
    "title_canon_sha256": "a609d03c7c3aac8dff1184849c135cb41cd9df6fea7b98b41b672f2807da1c6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0301012",
    "kind": "arxiv",
    "version": 1
  }
}