Pith Number

pith:ETCFEVT2

pith:2009:ETCFEVT2J5J6XHF6RIHB6DZUSM

not attested not anchored not stored refs pending

Fermat's spiral and the line between Yin and Yang

Oleg Verbitsky, Taras Banakh, Yaroslav Vorobets

arxiv:0902.1556 v2 · 2009-02-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ETCFEVT2J5J6XHF6RIHB6DZUSM}

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	2026-05-18T04:11:29.182495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24c452567a4f53eb9cbe8a0e1f0f34930fe64c01d2b5c7706b3b692dea86495d

Aliases

arxiv: 0902.1556 · arxiv_version: 0902.1556v2 · doi: 10.48550/arxiv.0902.1556 · pith_short_12: ETCFEVT2J5J6 · pith_short_16: ETCFEVT2J5J6XHF6 · pith_short_8: ETCFEVT2

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/ETCFEVT2J5J6XHF6RIHB6DZUSM \
  | 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: 24c452567a4f53eb9cbe8a0e1f0f34930fe64c01d2b5c7706b3b692dea86495d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60ca56f495997ba78e902a27c2d73464148f66c8e29a177031cdcf77e8ce5d71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-02-09T22:57:49Z",
    "title_canon_sha256": "df15eda4b737d68fbcc6005d0f3d8458eb773efd0b0431b61c0f2d55790101dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1556",
    "kind": "arxiv",
    "version": 2
  }
}