Pith Number

pith:4NNQZXI4

pith:2012:4NNQZXI4AVMYXNFUERINI4SSG6

not attested not anchored not stored refs pending

Initial data sets with ends of cylindrical type: I. The Lichnerowicz equation

Piotr T. Chru\'sciel, Rafe Mazzeo

arxiv:1201.4937 v2 · 2012-01-24 · 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{4NNQZXI4AVMYXNFUERINI4SSG6}

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	2026-05-18T02:41:01.358601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35b0cdd1c05598bb4b42450d4725237abf07653bc01f470788431e9a40cae65

Aliases

arxiv: 1201.4937 · arxiv_version: 1201.4937v2 · doi: 10.48550/arxiv.1201.4937 · pith_short_12: 4NNQZXI4AVMY · pith_short_16: 4NNQZXI4AVMYXNFU · pith_short_8: 4NNQZXI4

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/4NNQZXI4AVMYXNFUERINI4SSG6 \
  | 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: e35b0cdd1c05598bb4b42450d4725237abf07653bc01f470788431e9a40cae65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e574cd7c5f3e6ff10163c3f9c74ffed73556bd46c86581e73cff2541fe0d6478",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-01-24T09:57:21Z",
    "title_canon_sha256": "21fa8296553364e59b4fd70e52a8a9d48c88c2d7a12e2f39b39aa76a4db4f066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4937",
    "kind": "arxiv",
    "version": 2
  }
}