Pith Number

pith:POORXRXD

pith:2010:POORXRXDHHO3AUSQDLXVDYW536

not attested not anchored not stored refs pending

Raynaud-Mukai construction and Calabi-Yau Threefolds in Positive Characteristic

Yukihide Takayama

arxiv:1010.3449 v2 · 2010-10-17 · 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{POORXRXDHHO3AUSQDLXVDYW536}

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	2026-05-18T03:15:34.712252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9d1bc6e339ddb052501aef51e2dddf9443517241319112106d8a63a94f5da8

Aliases

arxiv: 1010.3449 · arxiv_version: 1010.3449v2 · doi: 10.48550/arxiv.1010.3449 · pith_short_12: POORXRXDHHO3 · pith_short_16: POORXRXDHHO3AUSQ · pith_short_8: POORXRXD

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/POORXRXDHHO3AUSQDLXVDYW536 \
  | 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: 7b9d1bc6e339ddb052501aef51e2dddf9443517241319112106d8a63a94f5da8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5bce2f2c6861427bfcf21db94e7a4ee0cbafa453ba9f01b0a400cc888205736",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-17T20:50:11Z",
    "title_canon_sha256": "b73b4115ec45913ed47c2a11313126421a98eb07d5f8490b6d01c4249ef82d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3449",
    "kind": "arxiv",
    "version": 2
  }
}