Pith Number

pith:CAGZMTVR

pith:2008:CAGZMTVR622NFG2W3CEDZB6MBJ

not attested not anchored not stored refs pending

Modular Galois covers associated to symplectic resolutions of singularities

Eyal Markman

arxiv:0807.3502 v4 · 2008-07-22 · 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{CAGZMTVR622NFG2W3CEDZB6MBJ}

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	2026-05-18T04:42:34.571235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100d964eb1f6b4d29b56d8883c87cc0a4514b3342ac3e45a002698cb484f7b54

Aliases

arxiv: 0807.3502 · arxiv_version: 0807.3502v4 · doi: 10.48550/arxiv.0807.3502 · pith_short_12: CAGZMTVR622N · pith_short_16: CAGZMTVR622NFG2W · pith_short_8: CAGZMTVR

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/CAGZMTVR622NFG2W3CEDZB6MBJ \
  | 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: 100d964eb1f6b4d29b56d8883c87cc0a4514b3342ac3e45a002698cb484f7b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3659f3747926fd71724ba7026ce0f5ceb7ede7445c086851e2266f8156bffa5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-07-22T15:45:08Z",
    "title_canon_sha256": "8fe40040ad50b4e47d72279d89021230b6ecdebb52b0fe11f674ee459910b674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.3502",
    "kind": "arxiv",
    "version": 4
  }
}