Pith Number

pith:5IIYXTAK

pith:2012:5IIYXTAKP6XGQCAJ4QB7DM47H6

not attested not anchored not stored refs pending

The unknotting number and classical invariants II

Maciej Borodzik, Stefan Friedl

arxiv:1207.2413 v2 · 2012-07-10 · 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{5IIYXTAKP6XGQCAJ4QB7DM47H6}

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	2026-05-18T03:16:59.024899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea118bcc0a7fae680809e403f1b39f3f88fd9afc285919d11594caa11017fdcc

Aliases

arxiv: 1207.2413 · arxiv_version: 1207.2413v2 · doi: 10.48550/arxiv.1207.2413 · pith_short_12: 5IIYXTAKP6XG · pith_short_16: 5IIYXTAKP6XGQCAJ · pith_short_8: 5IIYXTAK

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/5IIYXTAKP6XGQCAJ4QB7DM47H6 \
  | 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: ea118bcc0a7fae680809e403f1b39f3f88fd9afc285919d11594caa11017fdcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b11d5818c81de215946a264437931873f66fe53b141e4c41066453b94802401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-10T16:51:18Z",
    "title_canon_sha256": "781e683a7e0b984cd90e968c57b4c960bb0bbf4cbc7d17c458cd0e0fe0cb30f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2413",
    "kind": "arxiv",
    "version": 2
  }
}