Pith Number

pith:KNRYQW3I

pith:2015:KNRYQW3IGZJGIK7PGPWFH2IO3J

not attested not anchored not stored refs pending

Self-dual T-structure

Masaki Kashiwara

arxiv:1507.03384 v2 · 2015-07-13 · math.CT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNRYQW3IGZJGIK7PGPWFH2IO3J}

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	2026-05-18T01:24:03.517441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5363885b683652642bef33ec53e90eda76af00a3aeac211ce94a07d7e56f22d5

Aliases

arxiv: 1507.03384 · arxiv_version: 1507.03384v2 · doi: 10.48550/arxiv.1507.03384 · pith_short_12: KNRYQW3IGZJG · pith_short_16: KNRYQW3IGZJGIK7P · pith_short_8: KNRYQW3I

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/KNRYQW3IGZJGIK7PGPWFH2IO3J \
  | 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: 5363885b683652642bef33ec53e90eda76af00a3aeac211ce94a07d7e56f22d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a77d2e6427a8400f878d8f871c936b2d82bb1cc1b47daa12a4600962ac08a4b",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-07-13T10:24:05Z",
    "title_canon_sha256": "f62872b3dce2e603a1952779ca5c7ebf9634268ce49627cc573c2ceed3d96713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03384",
    "kind": "arxiv",
    "version": 2
  }
}