Pith Number

pith:NE25XEGL

pith:2012:NE25XEGL766H7NS3ECLAHSRL3I

not attested not anchored not stored refs pending

Clifford-Wolf homogeneous Randers spaces

Ming Xu, ShaoQiang Deng

arxiv:1206.3082 v1 · 2012-06-14 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NE25XEGL766H7NS3ECLAHSRL3I}

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	2026-05-18T03:53:32.773180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6935db90cbffbc7fb65b209603ca2bda21001ea06920757a7739e8086c5b7c35

Aliases

arxiv: 1206.3082 · arxiv_version: 1206.3082v1 · doi: 10.48550/arxiv.1206.3082 · pith_short_12: NE25XEGL766H · pith_short_16: NE25XEGL766H7NS3 · pith_short_8: NE25XEGL

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/NE25XEGL766H7NS3ECLAHSRL3I \
  | 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: 6935db90cbffbc7fb65b209603ca2bda21001ea06920757a7739e8086c5b7c35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00cf217d40bfc6740278bd94e3ee595a9c29db6ea62268fb8568ceeb5398ec5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-14T12:17:10Z",
    "title_canon_sha256": "86e562e614ba9605ed27897866d3a7b3eb02670f0e409b6721047c23c559c9b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3082",
    "kind": "arxiv",
    "version": 1
  }
}