Pith Number

pith:5N6BCFIN

pith:2006:5N6BCFIN22DNLTEZEWIQQO7MRD

not attested not anchored not stored refs pending

Thin position for knots in a 3-manifold

Maggy Tomova

arxiv:math/0609674 v1 · 2006-09-24 · 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{5N6BCFIN22DNLTEZEWIQQO7MRD}

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	2026-05-18T02:57:45.497415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7c11150dd686d5cc992591083bec88e7491f8f5e30963dc0811a1ca489d5fb

Aliases

arxiv: math/0609674 · arxiv_version: math/0609674v1 · doi: 10.48550/arxiv.math/0609674 · pith_short_12: 5N6BCFIN22DN · pith_short_16: 5N6BCFIN22DNLTEZ · pith_short_8: 5N6BCFIN

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/5N6BCFIN22DNLTEZEWIQQO7MRD \
  | 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: eb7c11150dd686d5cc992591083bec88e7491f8f5e30963dc0811a1ca489d5fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666424a6ecd3e15332d7d69179430330fc40e2725ecfdbb3924966eb42f445c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-09-24T23:48:30Z",
    "title_canon_sha256": "5c5545a0acea987dc5708066b9fad9b880164d446f95f1c09976f63096f74ef1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609674",
    "kind": "arxiv",
    "version": 1
  }
}