Pith Number

pith:ALBLFF3D

pith:2009:ALBLFF3DNDM5MLACCWKYMB3H6K

not attested not anchored not stored refs pending

Parallel Kustin--Miller unprojection with an application to Calabi--Yau geometry

Jorge Neves, Stavros Argyrios Papadakis

arxiv:0903.1335 v2 · 2009-03-07 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ALBLFF3DNDM5MLACCWKYMB3H6K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:58:03.409800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02c2b2976368d9d62c021595860767f28036e7e99fdfa94ac94c225ed63dff6c

Aliases

arxiv: 0903.1335 · arxiv_version: 0903.1335v2 · doi: 10.48550/arxiv.0903.1335 · pith_short_12: ALBLFF3DNDM5 · pith_short_16: ALBLFF3DNDM5MLAC · pith_short_8: ALBLFF3D

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/ALBLFF3DNDM5MLACCWKYMB3H6K \
  | 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: 02c2b2976368d9d62c021595860767f28036e7e99fdfa94ac94c225ed63dff6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ddaf6c783f18c0b88e0407b6c178bc10764f9313577db53c6180f3532ebc469",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-07T10:41:36Z",
    "title_canon_sha256": "a1ee34d58bf3902282bb5032c9d3dcddf49240d98d03625d5df5e2d81f0da059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1335",
    "kind": "arxiv",
    "version": 2
  }
}