Pith Number

pith:UZRD7IS5

pith:2011:UZRD7IS5S3EU6HKFUQN45B75PI

not attested not anchored not stored refs pending

Normal crossing properties of complex hypersurfaces via logarithmic residues

Mathias Schulze, Michel Granger

arxiv:1109.2612 v7 · 2011-09-12 · 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{UZRD7IS5S3EU6HKFUQN45B75PI}

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	2026-05-18T02:42:29.272031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6623fa25d96c94f1d45a41bce87fd7a3bdb7f05b324ff2088eda1c16559fb44

Aliases

arxiv: 1109.2612 · arxiv_version: 1109.2612v7 · doi: 10.48550/arxiv.1109.2612 · pith_short_12: UZRD7IS5S3EU · pith_short_16: UZRD7IS5S3EU6HKF · pith_short_8: UZRD7IS5

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/UZRD7IS5S3EU6HKFUQN45B75PI \
  | 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: a6623fa25d96c94f1d45a41bce87fd7a3bdb7f05b324ff2088eda1c16559fb44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59be79392cff6cdf41fbb8c05d386cc6cbcc6d21c2a7c33af533337870940a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-12T20:11:04Z",
    "title_canon_sha256": "320941dde5470b14452a9543a173641c3761001cf89ddaf4b0b9bf5a44a4bd93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2612",
    "kind": "arxiv",
    "version": 7
  }
}