Pith Number

pith:PXCAN7FG

pith:1999:PXCAN7FGV5BI2NYKKM4WDWIFKV

not attested not anchored not stored refs pending

Heat Kernel Asymptotics of Operators with Non-Laplace Principal Part

Ivan G. Avramidi, Thomas Branson

arxiv:math-ph/9905001 v2 · 1999-05-03 · math-ph · gr-qc · hep-th · math.AP · math.DG · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PXCAN7FGV5BI2NYKKM4WDWIFKV}

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	2026-05-18T01:38:30.563376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dc406fca6af428d370a533961d90555675ee2010e189f976c4d4aa8bc36009e

Aliases

arxiv: math-ph/9905001 · arxiv_version: math-ph/9905001v2 · doi: 10.48550/arxiv.math-ph/9905001 · pith_short_12: PXCAN7FGV5BI · pith_short_16: PXCAN7FGV5BI2NYK · pith_short_8: PXCAN7FG

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/PXCAN7FGV5BI2NYKKM4WDWIFKV \
  | 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: 7dc406fca6af428d370a533961d90555675ee2010e189f976c4d4aa8bc36009e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aed4cfeda5e5fa538fa9871898ab081d860b85428be1e349d770521cf5deed5a",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.AP",
      "math.DG",
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-05-03T20:19:40Z",
    "title_canon_sha256": "6eca18603aade1e0f1d97963abfe65f0e98f6a77fb0b930fbfc4b41e9128a85b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9905001",
    "kind": "arxiv",
    "version": 2
  }
}