Pith Number

pith:YVXSJFFE

pith:2012:YVXSJFFEKJRQUKNL4R55GFMYDA

not attested not anchored not stored refs pending

Noncommutative Residue and sub-Dirac Operators for Foliations

Jian Wang, Yong Wang

arxiv:1209.6211 v1 · 2012-09-27 · math.DG · math-ph · 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{YVXSJFFEKJRQUKNL4R55GFMYDA}

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	2026-05-18T01:54:13.328336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56f2494a452630a29abe47bd3159818199a69f38f83f122ee61dc6932a8810f

Aliases

arxiv: 1209.6211 · arxiv_version: 1209.6211v1 · doi: 10.48550/arxiv.1209.6211 · pith_short_12: YVXSJFFEKJRQ · pith_short_16: YVXSJFFEKJRQUKNL · pith_short_8: YVXSJFFE

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/YVXSJFFEKJRQUKNL4R55GFMYDA \
  | 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: c56f2494a452630a29abe47bd3159818199a69f38f83f122ee61dc6932a8810f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fd79fca9734df10f6cffcaab64e81400f35c7c08f645bf62794f84b3b1ecd13",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-27T12:54:09Z",
    "title_canon_sha256": "968637253a672040173a0e38e29442c0f4f172807ba1f315daeea4ad5fb6ad44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6211",
    "kind": "arxiv",
    "version": 1
  }
}