Pith Number

pith:7Z3HNREE

pith:2005:7Z3HNREED6CIFKSA4QDRZ373NE

not attested not anchored not stored refs pending

On the heat kernel and the Korteweg-de Vries hierarchy

Plamen Iliev

arxiv:math-ph/0504045 v1 · 2005-04-14 · 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{7Z3HNREED6CIFKSA4QDRZ373NE}

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	2026-05-18T03:56:11.018092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7676c4841f8482aa40e4071ceffb69387332003fb3459a8cd10ad2fcad3460

Aliases

arxiv: math-ph/0504045 · arxiv_version: math-ph/0504045v1 · doi: 10.48550/arxiv.math-ph/0504045 · pith_short_12: 7Z3HNREED6CI · pith_short_16: 7Z3HNREED6CIFKSA · pith_short_8: 7Z3HNREE

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/7Z3HNREED6CIFKSA4QDRZ373NE \
  | 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: fe7676c4841f8482aa40e4071ceffb69387332003fb3459a8cd10ad2fcad3460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbaa393184a467e7af0c858e7bc79c218a6e09c4c96982fb1a03a8efc0c97042",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-04-14T21:15:51Z",
    "title_canon_sha256": "21d5fd9c565fce006930177921413c92785eee638d9d73f1b3a40c397a33148d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0504045",
    "kind": "arxiv",
    "version": 1
  }
}