Pith Number

pith:OB6GPA4D

pith:2013:OB6GPA4DBIFDSVQ7CMEPSHQR7R

not attested not anchored not stored refs pending

Dirac Operators with Torsion and the Noncommutative Residue for Manifolds with Boundary

ChunLing Yang, Jian Wang, Yong Wang

arxiv:1303.3713 v1 · 2013-03-15 · 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{OB6GPA4DBIFDSVQ7CMEPSHQR7R}

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	2026-05-18T02:00:59.270293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707c6783830a0a39561f1308f91e11fc70d056cbe9e3b6d0bfc51d4041a51b37

Aliases

arxiv: 1303.3713 · arxiv_version: 1303.3713v1 · doi: 10.48550/arxiv.1303.3713 · pith_short_12: OB6GPA4DBIFD · pith_short_16: OB6GPA4DBIFDSVQ7 · pith_short_8: OB6GPA4D

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/OB6GPA4DBIFDSVQ7CMEPSHQR7R \
  | 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: 707c6783830a0a39561f1308f91e11fc70d056cbe9e3b6d0bfc51d4041a51b37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c719fbb2c58e3c5a46bec2af37f0ad8b7270a10f4cf5f979aec1fda66b0ba5ae",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-15T09:24:46Z",
    "title_canon_sha256": "6568777512ec0ac415de03957f730073f903ea1d43c42bcebc412d39c56bc731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3713",
    "kind": "arxiv",
    "version": 1
  }
}