Pith Number

pith:75UVDHOW

pith:2012:75UVDHOWN6G6EYGRADHKNR77M5

not attested not anchored not stored refs pending

Normal crossing singularities and Hodge theory over Artin rings

Christian Lehn

arxiv:1204.6661 v1 · 2012-04-30 · 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{75UVDHOWN6G6EYGRADHKNR77M5}

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	2026-05-18T03:56:44.181635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff69519dd66f8de260d100cea6c7ff674c289ca6879fbf271aefa2e74b81d188

Aliases

arxiv: 1204.6661 · arxiv_version: 1204.6661v1 · doi: 10.48550/arxiv.1204.6661 · pith_short_12: 75UVDHOWN6G6 · pith_short_16: 75UVDHOWN6G6EYGR · pith_short_8: 75UVDHOW

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/75UVDHOWN6G6EYGRADHKNR77M5 \
  | 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: ff69519dd66f8de260d100cea6c7ff674c289ca6879fbf271aefa2e74b81d188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9763c9dd9ff3e9ec2bd94b4fda3f12b1824c6438c8a6237ee5adb18670f4b32f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-30T15:04:46Z",
    "title_canon_sha256": "b177aa065bdebedc2bfcf0757bd9bf17024476e93622aa07c6fcc47c30d87496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6661",
    "kind": "arxiv",
    "version": 1
  }
}