Pith Number

pith:FJL32H6H

pith:2011:FJL32H6H5TUQBLRWJLIXLYGD5R

not attested not anchored not stored refs pending

Derivations and Dirichlet forms on fractals

Alexander Teplyaev, Luke G. Rogers, Marius Ionescu

arxiv:1106.1450 v3 · 2011-06-07 · math.OA · math-ph · math.FA · math.MG · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJL32H6H5TUQBLRWJLIXLYGD5R}

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	2026-05-18T00:12:11.859522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a57bd1fc7ece900ae364ad175e0c3ec7e1a161a28d482d9b513456213d46766

Aliases

arxiv: 1106.1450 · arxiv_version: 1106.1450v3 · doi: 10.48550/arxiv.1106.1450 · pith_short_12: FJL32H6H5TUQ · pith_short_16: FJL32H6H5TUQBLRW · pith_short_8: FJL32H6H

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/FJL32H6H5TUQBLRWJLIXLYGD5R \
  | 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: 2a57bd1fc7ece900ae364ad175e0c3ec7e1a161a28d482d9b513456213d46766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c16fa181ae507c8c31828a67ef424bc0f2e841dc1c6f849a504381dc589f8d2",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MG",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-06-07T20:26:00Z",
    "title_canon_sha256": "9443b1de75494f75acb70e4921f7acbc77e92e08813848da181d406038f6f055"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1450",
    "kind": "arxiv",
    "version": 3
  }
}