Pith Number

pith:FW4U4SA4

pith:2013:FW4U4SA4Q3KIZ56QYLMZ3COZSI

not attested not anchored not stored refs pending

Borel summation of the small time expansion of the heat kernel. The scalar potential case

Thierry Harge (AGM)

arxiv:1301.7742 v1 · 2013-01-31 · 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{FW4U4SA4Q3KIZ56QYLMZ3COZSI}

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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.

Cited by

1 paper in Pith

Heat Kernel and Resurgence

Receipt and verification

First computed	2026-05-18T03:34:48.760768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2db94e481c86d48cf7d0c2d99d89d9920f90dec7e3b1e0f5094d555d4bbe71e5

Aliases

arxiv: 1301.7742 · arxiv_version: 1301.7742v1 · doi: 10.48550/arxiv.1301.7742 · pith_short_12: FW4U4SA4Q3KI · pith_short_16: FW4U4SA4Q3KIZ56Q · pith_short_8: FW4U4SA4

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/FW4U4SA4Q3KIZ56QYLMZ3COZSI \
  | 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: 2db94e481c86d48cf7d0c2d99d89d9920f90dec7e3b1e0f5094d555d4bbe71e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e75645bec783d07da66a23e03b161389365fd9d5c8f22b3fcdbce01def6d667",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-31T20:38:36Z",
    "title_canon_sha256": "281678bbb33c04f308d1872cd2c6352a0c254b9fd8491fbe7093d6fe560481a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7742",
    "kind": "arxiv",
    "version": 1
  }
}