Pith Number

pith:SHDKANPR

pith:2007:SHDKANPRLN5S24YZEI5JO732TS

not attested not anchored not stored refs pending

The heat operator in infinite dimensions

Brian C. Hall

arxiv:0710.2137 v1 · 2007-10-10 · math-ph · math.FA · 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{SHDKANPRLN5S24YZEI5JO732TS}

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	2026-05-18T04:42:35.429285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c6a035f15b7b2d7319223a977f7a9caa91dadce154eef25e34461c72d86683

Aliases

arxiv: 0710.2137 · arxiv_version: 0710.2137v1 · doi: 10.48550/arxiv.0710.2137 · pith_short_12: SHDKANPRLN5S · pith_short_16: SHDKANPRLN5S24YZ · pith_short_8: SHDKANPR

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/SHDKANPRLN5S24YZEI5JO732TS \
  | 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: 91c6a035f15b7b2d7319223a977f7a9caa91dadce154eef25e34461c72d86683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa53085a89b92fc597078b64d28688fdba47c9a1727a7227ecc48fde63a1fba",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-10-10T23:05:34Z",
    "title_canon_sha256": "2fae8c1b25d63891f2ff3186df13fda70cf7e44357b9cd15382a83f571db87f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2137",
    "kind": "arxiv",
    "version": 1
  }
}