Pith Number

pith:O2TZBDDK

pith:2018:O2TZBDDK3YPH32U4V3NJHG6OTU

not attested not anchored not stored refs pending

Mukai pairs and simple $K$-equivalence

Akihiro Kanemitsu

arxiv:1812.05392 v1 · 2018-12-13 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2TZBDDK3YPH32U4V3NJHG6OTU}

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	2026-05-17T23:58:20.391715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a7908c6ade1e7dea9caeda939bce9d3082336f50c8c053a3b3613f47a3ea5d

Aliases

arxiv: 1812.05392 · arxiv_version: 1812.05392v1 · doi: 10.48550/arxiv.1812.05392 · pith_short_12: O2TZBDDK3YPH · pith_short_16: O2TZBDDK3YPH32U4 · pith_short_8: O2TZBDDK

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/O2TZBDDK3YPH32U4V3NJHG6OTU \
  | 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: 76a7908c6ade1e7dea9caeda939bce9d3082336f50c8c053a3b3613f47a3ea5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07202d289d20f48b29cdca90c7284817602270d7e57f6c010adeb82486f328ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-13T12:48:47Z",
    "title_canon_sha256": "548f3dc03cba534a19990b047b3fb0618bcd84be7063c16733ef83312031bcff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05392",
    "kind": "arxiv",
    "version": 1
  }
}