Pith Number

pith:GUMF2HTU

pith:2005:GUMF2HTU6OFXGK5Y4PFREFPGHA

not attested not anchored not stored refs pending

Harmonic coordinates on fractals with finitely ramified cell structure

Alexander Teplyaev

arxiv:math/0506261 v4 · 2005-06-14 · math.PR · 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{GUMF2HTU6OFXGK5Y4PFREFPGHA}

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	2026-05-18T00:12:07.012593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35185d1e74f38b732bb8e3cb1215e638245378d28040ed8ebd8601d46e796ae6

Aliases

arxiv: math/0506261 · arxiv_version: math/0506261v4 · doi: 10.48550/arxiv.math/0506261 · pith_short_12: GUMF2HTU6OFX · pith_short_16: GUMF2HTU6OFXGK5Y · pith_short_8: GUMF2HTU

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/GUMF2HTU6OFXGK5Y4PFREFPGHA \
  | 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: 35185d1e74f38b732bb8e3cb1215e638245378d28040ed8ebd8601d46e796ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "348ea9232e123123a7cc7128c7a6570cdd01bbbf7c05024c96b621413026510d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-06-14T00:14:19Z",
    "title_canon_sha256": "444ef3dfe4b82a44746364152d425e635104a02fea43064ecb22a4b95e304153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506261",
    "kind": "arxiv",
    "version": 4
  }
}