Pith Number

pith:4FZEU75M

pith:2005:4FZEU75MML4EI6322APIEAJ4NP

not attested not anchored not stored refs pending

The Logarithmic Spiral Conjecture

Steven R. Finch

arxiv:math/0501133 v2 · 2005-01-10 · math.OC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FZEU75MML4EI6322APIEAJ4NP}

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.

Cited by

1 paper in Pith

Geometric Structure of Ends of Ricci Shrinkers

Receipt and verification

First computed	2026-05-18T01:19:06.704451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1724a7fac62f8447b7ad01e82013c6bfbbfaf1b10d31583137d4d46689651d4

Aliases

arxiv: math/0501133 · arxiv_version: math/0501133v2 · doi: 10.48550/arxiv.math/0501133 · pith_short_12: 4FZEU75MML4E · pith_short_16: 4FZEU75MML4EI632 · pith_short_8: 4FZEU75M

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/4FZEU75MML4EI6322APIEAJ4NP \
  | 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: e1724a7fac62f8447b7ad01e82013c6bfbbfaf1b10d31583137d4d46689651d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b98368a600548d56c7d8ef87930fab410bd5f7c8ce08c88d0bb883e8f1c7bc4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2005-01-10T14:01:31Z",
    "title_canon_sha256": "3f58bcb5d498fcda7f11e2db3f7410ec51e0f38200d62e8779b49bcff97b691f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501133",
    "kind": "arxiv",
    "version": 2
  }
}