Pith Number

pith:ZAILCLNK

pith:2013:ZAILCLNKITHT6Q2XKOP6EYTNEK

not attested not anchored not stored refs pending

Endomotives of toric varieties

Matilde Marcolli, Zhaorong Jin

arxiv:1309.4101 v1 · 2013-09-16 · math-ph · math.AG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAILCLNKITHT6Q2XKOP6EYTNEK}

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	2026-05-18T01:47:37.054290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c810b12daa44cf3f4357539fe2626d22823d7fd1e3885e6691d590e4fcca946b

Aliases

arxiv: 1309.4101 · arxiv_version: 1309.4101v1 · doi: 10.48550/arxiv.1309.4101 · pith_short_12: ZAILCLNKITHT · pith_short_16: ZAILCLNKITHT6Q2X · pith_short_8: ZAILCLNK

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/ZAILCLNKITHT6Q2XKOP6EYTNEK \
  | 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: c810b12daa44cf3f4357539fe2626d22823d7fd1e3885e6691d590e4fcca946b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8af5b71a1dba81752227f81fd390972fbb3b14ebbcb3c7a5a355e27becd4c6ce",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-16T20:01:03Z",
    "title_canon_sha256": "88ba1b9ff135e315923851bd37196e7343ee83d24f44597ef1315f182d8b7361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4101",
    "kind": "arxiv",
    "version": 1
  }
}