Pith Number

pith:B3XKKV2C

pith:2004:B3XKKV2CHUOUHOFSG6XNS7CNSK

not attested not anchored not stored refs pending

Groups of locally-flat disk knots and non-locally-flat sphere knots

Greg Friedman

arxiv:math/0404143 v1 · 2004-04-06 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3XKKV2CHUOUHOFSG6XNS7CNSK}

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	2026-05-18T04:25:26.427504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eeea557423d1d43b8b237aed97c4d9298c87800eb793edfd7b0a954a5da3478

Aliases

arxiv: math/0404143 · arxiv_version: math/0404143v1 · doi: 10.48550/arxiv.math/0404143 · pith_short_12: B3XKKV2CHUOU · pith_short_16: B3XKKV2CHUOUHOFS · pith_short_8: B3XKKV2C

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/B3XKKV2CHUOUHOFSG6XNS7CNSK \
  | 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: 0eeea557423d1d43b8b237aed97c4d9298c87800eb793edfd7b0a954a5da3478

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16608ee7574a159b1951e8e5369a5d65648f930e11c2bf558127d74f6b50b5b9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-04-06T22:23:14Z",
    "title_canon_sha256": "8eb4ac60ffa1db0c38f8752e189c0601e195eb903fa68f6c36ec4318d9cd6d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404143",
    "kind": "arxiv",
    "version": 1
  }
}