Pith Number

pith:LVQHAK6H

pith:2007:LVQHAK6HIW2TOUWOBEQMBPMSDJ

not attested not anchored not stored refs pending

Algorithmically detecting the bridge number of hyperbolic knots

Alexander Coward

arxiv:0710.1262 v2 · 2007-10-05 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVQHAK6HIW2TOUWOBEQMBPMSDJ}

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	2026-05-18T03:59:12.519620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d60702bc745b53752ce0920c0bd921a64da35d853592d43b885d3ebf435c10e

Aliases

arxiv: 0710.1262 · arxiv_version: 0710.1262v2 · doi: 10.48550/arxiv.0710.1262 · pith_short_12: LVQHAK6HIW2T · pith_short_16: LVQHAK6HIW2TOUWO · pith_short_8: LVQHAK6H

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/LVQHAK6HIW2TOUWOBEQMBPMSDJ \
  | 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: 5d60702bc745b53752ce0920c0bd921a64da35d853592d43b885d3ebf435c10e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b66f10ea5ea4e7abb69bfd53423e9d693841eaa90b5963411ee200361c0515",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-10-05T16:32:19Z",
    "title_canon_sha256": "db2ff7438e5442259470bc8e8bd5a98a14b46da8895b68cdf05de86582e38a90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1262",
    "kind": "arxiv",
    "version": 2
  }
}