Pith Number

pith:XZTOQ3NX

pith:2012:XZTOQ3NXJX5OOHRTLWLXYM3C7M

not attested not anchored not stored refs pending

The half-twisted splice operation on reduced knot projections

Ayaka Shimizu, Noboru Ito

arxiv:1208.0989 v1 · 2012-08-05 · 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{XZTOQ3NXJX5OOHRTLWLXYM3C7M}

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	2026-05-18T03:49:20.881376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be66e86db74dfae71e335d977c3362fb1afdaed18ca64627eaacb2c157c05d08

Aliases

arxiv: 1208.0989 · arxiv_version: 1208.0989v1 · doi: 10.48550/arxiv.1208.0989 · pith_short_12: XZTOQ3NXJX5O · pith_short_16: XZTOQ3NXJX5OOHRT · pith_short_8: XZTOQ3NX

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/XZTOQ3NXJX5OOHRTLWLXYM3C7M \
  | 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: be66e86db74dfae71e335d977c3362fb1afdaed18ca64627eaacb2c157c05d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8817b39e2e88b0e3422bb71b8ac00a7b5e629469fce226d7f4abf34f56ed5108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-05T08:46:13Z",
    "title_canon_sha256": "141dec8336e3381cc7b683ef7e5be8e537e1d80900bf412726477ce0db77e90a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0989",
    "kind": "arxiv",
    "version": 1
  }
}