Pith Number

pith:K2NN35MH

pith:2013:K2NN35MHDDD4XFDMP5KQU6WRK7

not attested not anchored not stored refs pending

The effect of points fattening on Hirzebruch surfaces

Anders Lundman, Sandra Di Rocco, Tomasz Szemberg

arxiv:1311.3320 v1 · 2013-11-13 · math.AG · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2NN35MHDDD4XFDMP5KQU6WRK7}

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	2026-05-18T01:17:26.204583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569addf58718c7cb946c7f550a7ad157e067b3fa7ecaf72e5afe6ffe25507f54

Aliases

arxiv: 1311.3320 · arxiv_version: 1311.3320v1 · doi: 10.48550/arxiv.1311.3320 · pith_short_12: K2NN35MHDDD4 · pith_short_16: K2NN35MHDDD4XFDM · pith_short_8: K2NN35MH

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/K2NN35MHDDD4XFDMP5KQU6WRK7 \
  | 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: 569addf58718c7cb946c7f550a7ad157e067b3fa7ecaf72e5afe6ffe25507f54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1e912d16dd5644453085ba020cbcd04a40b283671bce193eeeb761de781f883",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-13T22:02:21Z",
    "title_canon_sha256": "56390129d1b298dea9e3d9b93fc58c09512798d1acfb1480827de22932c35f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3320",
    "kind": "arxiv",
    "version": 1
  }
}