Pith Number

pith:KNM7OVXU

pith:2004:KNM7OVXUH7X5LCCARECHUSPV7H

not attested not anchored not stored refs pending

Some non-trivial PL knots whose complements are homotopy circles

Greg Friedman

arxiv:math/0408325 v2 · 2004-08-24 · 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{KNM7OVXUH7X5LCCARECHUSPV7H}

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	2026-05-18T04:25:26.381028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5359f756f43fefd5884089047a49f5f9f1f4d11753f86f5c62a05842205afd6c

Aliases

arxiv: math/0408325 · arxiv_version: math/0408325v2 · doi: 10.48550/arxiv.math/0408325 · pith_short_12: KNM7OVXUH7X5 · pith_short_16: KNM7OVXUH7X5LCCA · pith_short_8: KNM7OVXU

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/KNM7OVXUH7X5LCCARECHUSPV7H \
  | 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: 5359f756f43fefd5884089047a49f5f9f1f4d11753f86f5c62a05842205afd6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504bc18956628b9c64a78f952e252155836e622316fef468ebf6f38b637940c0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-08-24T05:39:28Z",
    "title_canon_sha256": "b871c65223754c007d9308a968fa0120aee5f3192e46eb0c7aecc16dde8b1922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408325",
    "kind": "arxiv",
    "version": 2
  }
}