Pith Number

pith:WAZDXMEU

pith:2023:WAZDXMEURFME4GSHESON7OH55Y

not attested not anchored not stored refs pending

Minimal log discrepancies on smooth threefolds

Masayuki Kawakita

arxiv:2312.13599 v2 · 2023-12-21 · 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{WAZDXMEURFME4GSHESON7OH55Y}

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	2026-07-05T07:28:32.153583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0323bb09489584e1a47249cdfb8fdee0ede5af2b36f8112c72b9144b1e214c4

Aliases

arxiv: 2312.13599 · arxiv_version: 2312.13599v2 · doi: 10.48550/arxiv.2312.13599 · pith_short_12: WAZDXMEURFME · pith_short_16: WAZDXMEURFME4GSH · pith_short_8: WAZDXMEU

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/WAZDXMEURFME4GSHESON7OH55Y \
  | 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: b0323bb09489584e1a47249cdfb8fdee0ede5af2b36f8112c72b9144b1e214c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b034d87d9bbf285cd048bff18fc1a525531a3415e12133ea09787d5b4a540d0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-12-21T06:05:19Z",
    "title_canon_sha256": "8343adea73141c5537adcdfc29216aa1f9a3a612592ea521d0a2c1e246ee7dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.13599",
    "kind": "arxiv",
    "version": 2
  }
}