Pith Number

pith:W2O7BHGM

pith:2014:W2O7BHGMUB3HVCLHZRIHVPPW5T

not attested not anchored not stored refs pending

Degeneration of Hodge structures over Picard modular surfaces

Giuseppe Ancona

arxiv:1403.5187 v2 · 2014-03-20 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2O7BHGMUB3HVCLHZRIHVPPW5T}

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	2026-05-18T00:50:52.629752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b69df09ccca0767a8967cc507abdf6ecf8a6973d2656f7c6311a137d57a890b8

Aliases

arxiv: 1403.5187 · arxiv_version: 1403.5187v2 · doi: 10.48550/arxiv.1403.5187 · pith_short_12: W2O7BHGMUB3H · pith_short_16: W2O7BHGMUB3HVCLH · pith_short_8: W2O7BHGM

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/W2O7BHGMUB3HVCLHZRIHVPPW5T \
  | 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: b69df09ccca0767a8967cc507abdf6ecf8a6973d2656f7c6311a137d57a890b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b5718d5c598cb70b2c2f6e6b6310b2c1f1a0c262d3ff148ca3db260e15a192",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-03-20T16:08:40Z",
    "title_canon_sha256": "dd2d95962a9730916b1e3b55b57e872aa828a831bde7b8981af602defa69c9e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5187",
    "kind": "arxiv",
    "version": 2
  }
}