Pith Number

pith:ZO4XXTBH

pith:2012:ZO4XXTBHZHWOT7AUNMIBVI4CAB

not attested not anchored not stored refs pending

Oscillatory singularities in Bianchi models with magnetic fields

Alan D. Rendall, Sophonie Blaise Tchapnda, Stefan Liebscher

arxiv:1207.2655 v1 · 2012-07-11 · gr-qc · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZO4XXTBHZHWOT7AUNMIBVI4CAB}

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	2026-05-18T00:37:37.585135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb97bcc27c9ece9fc146b101aa38200604c0171338e042a554142802e7aa5ff

Aliases

arxiv: 1207.2655 · arxiv_version: 1207.2655v1 · doi: 10.48550/arxiv.1207.2655 · pith_short_12: ZO4XXTBHZHWO · pith_short_16: ZO4XXTBHZHWOT7AU · pith_short_8: ZO4XXTBH

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/ZO4XXTBHZHWOT7AUNMIBVI4CAB \
  | 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: cbb97bcc27c9ece9fc146b101aa38200604c0171338e042a554142802e7aa5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe50420d7fcff031ff2ca693cd8a0b7096279affd3547f58140a7abfe265b7b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-11T14:31:12Z",
    "title_canon_sha256": "8109554229a2473f947f451a6c85c55ba030c4eab71167307665af4e1c4826b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2655",
    "kind": "arxiv",
    "version": 1
  }
}