Pith Number

pith:FYPOLHBS

pith:2006:FYPOLHBSOTK5T4MGD74DVG65JJ

not attested not anchored not stored refs pending

Behavior of knot invariants under genus 2 mutation

Alexander Shumakovitch, Morwen Thistlethwaite, Nathan M. Dunfield, Stavros Garoufalidis

arxiv:math/0607258 v5 · 2006-07-11 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYPOLHBSOTK5T4MGD74DVG65JJ}

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	2026-05-18T04:01:51.499724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e1ee59c3274d5d9f1861ff83a9bdd4a7c641531021ce1a9d03f612f66a864d6

Aliases

arxiv: math/0607258 · arxiv_version: math/0607258v5 · doi: 10.48550/arxiv.math/0607258 · pith_short_12: FYPOLHBSOTK5 · pith_short_16: FYPOLHBSOTK5T4MG · pith_short_8: FYPOLHBS

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/FYPOLHBSOTK5T4MGD74DVG65JJ \
  | 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: 2e1ee59c3274d5d9f1861ff83a9bdd4a7c641531021ce1a9d03f612f66a864d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1dab952396e1fc30ae043ca7e236c70a675fa1d499f3044ebe81b1af79fe41d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2006-07-11T13:29:23Z",
    "title_canon_sha256": "994c4a23781854c686fcd7a71393f3af4f5a2b2bd633484ad9185efb289bc8ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607258",
    "kind": "arxiv",
    "version": 5
  }
}