Pith Number

pith:GS2CYZW7

pith:2002:GS2CYZW7VPCKTNBFBYQC6YDZLW

not attested not anchored not stored refs pending

Framed holonomic knots

Maxime Wolff, Tobias Ekholm

arxiv:math/0206190 v1 · 2002-06-18 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GS2CYZW7VPCKTNBFBYQC6YDZLW}

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	2026-05-18T02:41:32.987884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b42c66dfabc4a9b4250e202f60795d9f75fbbb55b633e98f3b25b2bbb85a8a

Aliases

arxiv: math/0206190 · arxiv_version: math/0206190v1 · doi: 10.48550/arxiv.math/0206190 · pith_short_12: GS2CYZW7VPCK · pith_short_16: GS2CYZW7VPCKTNBF · pith_short_8: GS2CYZW7

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/GS2CYZW7VPCKTNBFBYQC6YDZLW \
  | 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: 34b42c66dfabc4a9b4250e202f60795d9f75fbbb55b633e98f3b25b2bbb85a8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a61d48075c78fceb044f9a6885145f856c7ebc51cc49a0144c3a8467a6d4c55c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-06-18T22:09:01Z",
    "title_canon_sha256": "879b0ffdecd62046d784d6d857e2f8834147d9f69d6359860f13e6e606a9eba5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206190",
    "kind": "arxiv",
    "version": 1
  }
}