Pith Number

pith:MFNJKCPA

pith:2016:MFNJKCPAEZ7L7CJBPR3QT4O45P

not attested not anchored not stored refs pending

The non-Lefschetz locus

Juan Migliore, Mats Boij, Rosa M. Mir\'o-Roig, Uwe Nagel

arxiv:1609.00952 v1 · 2016-09-04 · math.AC · 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{MFNJKCPAEZ7L7CJBPR3QT4O45P}

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	2026-05-18T01:06:19.494547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

615a9509e0267ebf89217c7709f1dcebe250fed4ed898983cbf3a5b0b3f36a7a

Aliases

arxiv: 1609.00952 · arxiv_version: 1609.00952v1 · doi: 10.48550/arxiv.1609.00952 · pith_short_12: MFNJKCPAEZ7L · pith_short_16: MFNJKCPAEZ7L7CJB · pith_short_8: MFNJKCPA

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/MFNJKCPAEZ7L7CJBPR3QT4O45P \
  | 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: 615a9509e0267ebf89217c7709f1dcebe250fed4ed898983cbf3a5b0b3f36a7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cadacdf1171a9efdc1285ccc77dd5c9fc835c816cbea9056ff7991463913efc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-09-04T16:10:57Z",
    "title_canon_sha256": "d04401921c94f548435845a292c324bdb290cc8c0107dcdfeb554ca7780e9cf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00952",
    "kind": "arxiv",
    "version": 1
  }
}