Pith Number

pith:AB2AGIPZ

pith:2009:AB2AGIPZ2ULTMROI7F5DWVIU4U

not attested not anchored not stored refs pending

Unknotting surface links which are coverings of a trivial torus knot

Inasa Nakamura

arxiv:0905.1471 v2 · 2009-05-10 · 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{AB2AGIPZ2ULTMROI7F5DWVIU4U}

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	2026-05-18T03:54:15.456746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00740321f9d5173645c8f97a3b5514e50be731ad49b5d53c8d707ffe0ee83f8a

Aliases

arxiv: 0905.1471 · arxiv_version: 0905.1471v2 · doi: 10.48550/arxiv.0905.1471 · pith_short_12: AB2AGIPZ2ULT · pith_short_16: AB2AGIPZ2ULTMROI · pith_short_8: AB2AGIPZ

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/AB2AGIPZ2ULTMROI7F5DWVIU4U \
  | 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: 00740321f9d5173645c8f97a3b5514e50be731ad49b5d53c8d707ffe0ee83f8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929f748f6e1b455c633e837b08252de32d14747f1ef49d5c0eaf46966db74346",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-10T12:44:46Z",
    "title_canon_sha256": "d1a3c25da164894fb6db901310cca8b417509e3f191da6a224e5fde9b09b5f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1471",
    "kind": "arxiv",
    "version": 2
  }
}