Pith Number

pith:WMTZ73LB

pith:2019:WMTZ73LBW2YLYTSWUPCIJ2D7WK

not attested not anchored not stored refs pending

Log canonical $3$-fold complements

Joaqu\'in Moraga, Stefano Filipazzi, Yanning Xu

arxiv:1909.10098 v2 · 2019-09-22 · 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{WMTZ73LBW2YLYTSWUPCIJ2D7WK}

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.

Cited by

1 paper in Pith

Discreteness of volumes of divisors on Calabi-Yau type varieties

Receipt and verification

First computed	2026-07-05T03:46:12.114526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3279fed61b6b0bc4e56a3c484e87fb282d1e0fcf62b30dbdfc2ed4031c0e1f3

Aliases

arxiv: 1909.10098 · arxiv_version: 1909.10098v2 · doi: 10.48550/arxiv.1909.10098 · pith_short_12: WMTZ73LBW2YL · pith_short_16: WMTZ73LBW2YLYTSW · pith_short_8: WMTZ73LB

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/WMTZ73LBW2YLYTSWUPCIJ2D7WK \
  | 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: b3279fed61b6b0bc4e56a3c484e87fb282d1e0fcf62b30dbdfc2ed4031c0e1f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca8ccd6032af00e93f4681d9200727d0fa2ab64d9f3f49a2f3b423ba8a141ecb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-22T21:41:03Z",
    "title_canon_sha256": "50869cf3f9923e0b79774c814cf2825a23571892abca00e4384aca0b265d3412"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10098",
    "kind": "arxiv",
    "version": 2
  }
}