Pith Number

pith:CNSF2YKG

pith:2015:CNSF2YKGGUFYNK5EX6QOKXJULP

not attested not anchored not stored refs pending

Non-commutative virtual structure sheaves

Yukinobu Toda

arxiv:1511.00318 v1 · 2015-11-01 · 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{CNSF2YKGGUFYNK5EX6QOKXJULP}

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	2026-05-18T01:28:12.675276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13645d6146350b86aba4bfa0e55d345bd661171841fd67e021ae74963692072c

Aliases

arxiv: 1511.00318 · arxiv_version: 1511.00318v1 · doi: 10.48550/arxiv.1511.00318 · pith_short_12: CNSF2YKGGUFY · pith_short_16: CNSF2YKGGUFYNK5E · pith_short_8: CNSF2YKG

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/CNSF2YKGGUFYNK5EX6QOKXJULP \
  | 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: 13645d6146350b86aba4bfa0e55d345bd661171841fd67e021ae74963692072c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f711bf137d9e7eaecf935a1c1479d491a65412bc0b2b3d1e88518ca9f1719c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-01T22:08:20Z",
    "title_canon_sha256": "ebe30ba028d7fc638f2700a5cfa43add900f9be64b98ecd6a8054a31fde102df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00318",
    "kind": "arxiv",
    "version": 1
  }
}