Pith Number

pith:SR4BFUJF

pith:2007:SR4BFUJFLXM3G4MPOC6I56TZNC

not attested not anchored not stored refs pending

The singular points of self-similar functions with zero spectral degree. Stieltjes self-similar string

I. A. Sheipak

arxiv:0711.0451 v3 · 2007-11-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SR4BFUJFLXM3G4MPOC6I56TZNC}

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	2026-07-04T15:11:00.022974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

947812d1255dd9b3718f70bc8efa7968a8c85cbd53655c42dd4de3321567133b

Aliases

arxiv: 0711.0451 · arxiv_version: 0711.0451v3 · doi: 10.48550/arxiv.0711.0451 · pith_short_12: SR4BFUJFLXM3 · pith_short_16: SR4BFUJFLXM3G4MP · pith_short_8: SR4BFUJF

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/SR4BFUJFLXM3G4MPOC6I56TZNC \
  | 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: 947812d1255dd9b3718f70bc8efa7968a8c85cbd53655c42dd4de3321567133b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6d7a7ff832c0f32a71003a0582490e4ebcab688b88e193294da9cf2c6cab00",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2007-11-03T13:10:24Z",
    "title_canon_sha256": "9bddd4ae3be8c14254fc6c605aee11712b8513e44b34c5a2145e1e01ff4f631a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0451",
    "kind": "arxiv",
    "version": 3
  }
}