Pith Number

pith:SIHULHOL

pith:2011:SIHULHOLANJVXUCJGJXDW56GAH

not attested not anchored not stored refs pending

A Fr\'{e}chet law and an Erd\"os-Philipp law for maximal cuspidal windings

Bernd O. Stratmann, Johannes Jaerisch, Marc Kesseb\"ohmer

arxiv:1109.3583 v2 · 2011-09-16 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIHULHOLANJVXUCJGJXDW56GAH}

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	2026-05-18T02:39:30.676758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

920f459dcb03535bd049326e3b77c601e923e45062901a8868fd32e319958f15

Aliases

arxiv: 1109.3583 · arxiv_version: 1109.3583v2 · doi: 10.48550/arxiv.1109.3583 · pith_short_12: SIHULHOLANJV · pith_short_16: SIHULHOLANJVXUCJ · pith_short_8: SIHULHOL

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/SIHULHOLANJVXUCJGJXDW56GAH \
  | 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: 920f459dcb03535bd049326e3b77c601e923e45062901a8868fd32e319958f15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc7efd1fb851b5abe0fb0e5e18203146cb952c10360c7e5b69e20469e1532ec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-16T11:11:56Z",
    "title_canon_sha256": "e287eb1fda722add8efc48dfd100a9fc39de84ffdcea7eb24e9085e78f1b7c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3583",
    "kind": "arxiv",
    "version": 2
  }
}