Pith Number

pith:GEMS2NQB

pith:2026:GEMS2NQBLAJ2A2PIZKPIF2ZQPJ

not attested not anchored not stored refs pending

Strong corks derived from the Akbulut cork

Tateaki Mukohara

arxiv:2601.02230 v3 · 2026-01-05 · 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{GEMS2NQBLAJ2A2PIZKPIF2ZQPJ}

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	2026-07-23T01:24:19.819961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31192d36015813a069e8ca9e82eb307a40a2e9c6e2c7815be7602fa440a6d045

Aliases

arxiv: 2601.02230 · arxiv_version: 2601.02230v3 · doi: 10.48550/arxiv.2601.02230 · pith_short_12: GEMS2NQBLAJ2 · pith_short_16: GEMS2NQBLAJ2A2PI · pith_short_8: GEMS2NQB

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/GEMS2NQBLAJ2A2PIZKPIF2ZQPJ \
  | 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: 31192d36015813a069e8ca9e82eb307a40a2e9c6e2c7815be7602fa440a6d045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4273273b6f66329d14788ac8d5f77d8266ef6fad253b557a3c8a40b8cf15a29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-01-05T15:55:50Z",
    "title_canon_sha256": "79f1b68e8eda41f94d8dab1f93fd3278174075ce531a24c75fe088bc65a53c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.02230",
    "kind": "arxiv",
    "version": 3
  }
}