Pith Number

pith:R6VVB7R4

pith:2006:R6VVB7R4VCY34UU6XRM4PNDFNH

not attested not anchored not stored refs pending

Heat kernel expansions on the integers and the Toda lattice hierarchy

Plamen Iliev

arxiv:math-ph/0605079 v4 · 2006-05-31 · 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{R6VVB7R4VCY34UU6XRM4PNDFNH}

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	2026-05-18T03:56:11.008304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fab50fe3ca8b1be529ebc59c7b46569ffb08b8b87cee3cb13a2819f375d3afc

Aliases

arxiv: math-ph/0605079 · arxiv_version: math-ph/0605079v4 · doi: 10.48550/arxiv.math-ph/0605079 · pith_short_12: R6VVB7R4VCY3 · pith_short_16: R6VVB7R4VCY34UU6 · pith_short_8: R6VVB7R4

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/R6VVB7R4VCY34UU6XRM4PNDFNH \
  | 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: 8fab50fe3ca8b1be529ebc59c7b46569ffb08b8b87cee3cb13a2819f375d3afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28e99a61a85d1a5203ac8e270a8066a83e1b1cfe03033e1d50cefd02e2f29c40",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-05-31T02:41:19Z",
    "title_canon_sha256": "6b0f78c4e49122808128a0944d7aeaa3e98358666f9dc03a051f4fd627bdec66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0605079",
    "kind": "arxiv",
    "version": 4
  }
}