Pith Number

pith:2WIUWMFU

pith:2002:2WIUWMFUV5TLINZ44ECECCMPL7

not attested not anchored not stored refs pending

Noncommutative knot theory

Tim D. Cochran

arxiv:math/0206258 v2 · 2002-06-25 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WIUWMFUV5TLINZ44ECECCMPL7}

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	2026-05-18T02:41:32.982730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5914b30b4af66b4373ce10441098f5ffd1fdea441d3d4bf17cbcdd5b70f3b0c

Aliases

arxiv: math/0206258 · arxiv_version: math/0206258v2 · doi: 10.48550/arxiv.math/0206258 · pith_short_12: 2WIUWMFUV5TL · pith_short_16: 2WIUWMFUV5TLINZ4 · pith_short_8: 2WIUWMFU

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/2WIUWMFUV5TLINZ44ECECCMPL7 \
  | 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: d5914b30b4af66b4373ce10441098f5ffd1fdea441d3d4bf17cbcdd5b70f3b0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0c99ed5925dc9ae13036b2c1cde2222f89f47eeb2691ba5c23290d9dc6b770",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-06-25T00:08:45Z",
    "title_canon_sha256": "cfee3523b0ce66afed5485fb9c3b85a2976203c0299ced51fafa4a66e1a95234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206258",
    "kind": "arxiv",
    "version": 2
  }
}