Pith Number

pith:KTMYYLLT

pith:2025:KTMYYLLTL57AEKB6DYUNURSQU2

not attested not anchored not stored refs pending

A survey on birational Rigidity of threefold Weighted Complete Intersections

Takuzo Okada, Tiago Duarte Guerreiro

arxiv:2508.13025 v2 · 2025-08-18 · 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{KTMYYLLTL57AEKB6DYUNURSQU2}

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	2026-07-05T11:55:43.073714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d98c2d735f7e02283e1e28da4650a6b31db9ef822c70e1c9ad9e60dcb6496b

Aliases

arxiv: 2508.13025 · arxiv_version: 2508.13025v2 · doi: 10.48550/arxiv.2508.13025 · pith_short_12: KTMYYLLTL57A · pith_short_16: KTMYYLLTL57AEKB6 · pith_short_8: KTMYYLLT

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/KTMYYLLTL57AEKB6DYUNURSQU2 \
  | 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: 54d98c2d735f7e02283e1e28da4650a6b31db9ef822c70e1c9ad9e60dcb6496b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c1276e2cbad3de1183725b94b7bfab46956f5e4b0d5bea2fd985397ef13782",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-18T15:41:57Z",
    "title_canon_sha256": "9665dd2eab0aa861230d18dc7379c5361d4cc2cd871eefaab04dca6b0ce36e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13025",
    "kind": "arxiv",
    "version": 2
  }
}