Pith Number

pith:TSI6IALO

pith:2012:TSI6IALOLXLG2MJOGATSXOBFC4

not attested not anchored not stored refs pending

The Pontryagin Class for Pre-Courant Algebroids

Xiaomeng Xu, Yunhe Sheng, Zhangju Liu

arxiv:1205.5898 v2 · 2012-05-26 · math-ph · math.CT · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSI6IALOLXLG2MJOGATSXOBFC4}

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	2026-05-18T01:18:53.072199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c91e4016e5dd66d312e30272bb8251734951c9e8a8c99af077359ced001f2ff

Aliases

arxiv: 1205.5898 · arxiv_version: 1205.5898v2 · doi: 10.48550/arxiv.1205.5898 · pith_short_12: TSI6IALOLXLG · pith_short_16: TSI6IALOLXLG2MJO · pith_short_8: TSI6IALO

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/TSI6IALOLXLG2MJOGATSXOBFC4 \
  | 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: 9c91e4016e5dd66d312e30272bb8251734951c9e8a8c99af077359ced001f2ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07dba04d5057b743ee2e2ffe819ee22b1d99a10d495db7f6954e401cd6f91bb3",
    "cross_cats_sorted": [
      "math.CT",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-26T17:10:51Z",
    "title_canon_sha256": "850d8f40fa649577ee17d5958d7ccdc55da7f5eb01eb37fe14d648e0731c24cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5898",
    "kind": "arxiv",
    "version": 2
  }
}