Pith Number

pith:OR6MTVHN

pith:2018:OR6MTVHN6W5XEY2H2SO3OJBI7S

not attested not anchored not stored refs pending

Log Calabi-Yau fibrations

Caucher Birkar

arxiv:1811.10709 v2 · 2018-11-26 · 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{OR6MTVHN6W5XEY2H2SO3OJBI7S}

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	2026-05-17T23:59:43.220422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

747cc9d4edf5bb726347d49db72428fcbd0f385d073a742674b0d5109e433c6c

Aliases

arxiv: 1811.10709 · arxiv_version: 1811.10709v2 · doi: 10.48550/arxiv.1811.10709 · pith_short_12: OR6MTVHN6W5X · pith_short_16: OR6MTVHN6W5XEY2H · pith_short_8: OR6MTVHN

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/OR6MTVHN6W5XEY2H2SO3OJBI7S \
  | 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: 747cc9d4edf5bb726347d49db72428fcbd0f385d073a742674b0d5109e433c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1d38846e94e690ab3220bc851c27e5c0b9ec6dda8b03ec0db4ab138b3861eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-26T22:03:12Z",
    "title_canon_sha256": "28f6d8bfced818ff20ffb7d01462e2645d1815575d8f6d9d6cb5a3b759c83a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10709",
    "kind": "arxiv",
    "version": 2
  }
}