Pith Number

pith:VHHCQ6SI

pith:2015:VHHCQ6SIRKA2XD2PZSUJ246UY6

not attested not anchored not stored refs pending

Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with $S^1$ action

Chin-Yu Hsiao, I-Hsun Tsai, Jih-Hsin Cheng

arxiv:1511.00063 v3 · 2015-10-31 · math.DG · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHHCQ6SIRKA2XD2PZSUJ246UY6}

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	2026-05-18T00:39:57.071741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9ce287a488a81ab8f4fcca89d73d4c79e3a432db511196e67fdd34136bf9ca0

Aliases

arxiv: 1511.00063 · arxiv_version: 1511.00063v3 · doi: 10.48550/arxiv.1511.00063 · pith_short_12: VHHCQ6SIRKA2 · pith_short_16: VHHCQ6SIRKA2XD2P · pith_short_8: VHHCQ6SI

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/VHHCQ6SIRKA2XD2PZSUJ246UY6 \
  | 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: a9ce287a488a81ab8f4fcca89d73d4c79e3a432db511196e67fdd34136bf9ca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f8200c9082cf03cdc8e78a3be496adca375f35215138bbe877af1281145b81f",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-31T03:01:56Z",
    "title_canon_sha256": "2597838ec3b054dbdd9e3f5e904cff8f75c2a974e712e792be5ffb85c4cad774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00063",
    "kind": "arxiv",
    "version": 3
  }
}