Pith Number

pith:TCSWPP5V

pith:2015:TCSWPP5VYCDGZAXNWIJYEAUEXJ

not attested not anchored not stored refs pending

Heat kernels in the context of Kato potentials on arbitrary manifolds

Batu G\"uneysu

arxiv:1511.01675 v2 · 2015-11-05 · math-ph · math.DG · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCSWPP5VYCDGZAXNWIJYEAUEXJ}

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	2026-05-18T01:14:29.189559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a567bfb5c0866c82edb213820284ba6657d5d55a2b38d46a73087e3aaa5a8f

Aliases

arxiv: 1511.01675 · arxiv_version: 1511.01675v2 · doi: 10.48550/arxiv.1511.01675 · pith_short_12: TCSWPP5VYCDG · pith_short_16: TCSWPP5VYCDGZAXN · pith_short_8: TCSWPP5V

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/TCSWPP5VYCDGZAXNWIJYEAUEXJ \
  | 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: 98a567bfb5c0866c82edb213820284ba6657d5d55a2b38d46a73087e3aaa5a8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da9165eb5cd73ebd2207054b984c2f8500c10ba94d427f71da060033e1ad9282",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-05T09:46:50Z",
    "title_canon_sha256": "0c48f413eb33b22c0321330ce621b8ecbcc86908c38779438c232b8902cd8f63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01675",
    "kind": "arxiv",
    "version": 2
  }
}