Pith Number

pith:X76MMHDN

pith:2008:X76MMHDNNA3UBARRKLA6NZHR7O

not attested not anchored not stored refs pending

A family of transversely nonsimple knots

Lenhard Ng, Tirasan Khandhawit

arxiv:0806.1887 v2 · 2008-06-11 · 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{X76MMHDNNA3UBARRKLA6NZHR7O}

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	2026-05-18T02:41:51.621865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bffcc61c6d683740823152c1e6e4f1fbaced76ee0d6f9a2212059a8afd68df1f

Aliases

arxiv: 0806.1887 · arxiv_version: 0806.1887v2 · doi: 10.48550/arxiv.0806.1887 · pith_short_12: X76MMHDNNA3U · pith_short_16: X76MMHDNNA3UBARR · pith_short_8: X76MMHDN

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/X76MMHDNNA3UBARRKLA6NZHR7O \
  | 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: bffcc61c6d683740823152c1e6e4f1fbaced76ee0d6f9a2212059a8afd68df1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72dab18b3ddae725eef5c94c54e72f310324cc4f3036daef9bb334f494107b42",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-06-11T14:55:29Z",
    "title_canon_sha256": "fc5c2bb768804821f02e3bf5c213fad20fcaeb1291adf81b53676c1263b41c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1887",
    "kind": "arxiv",
    "version": 2
  }
}