Pith Number

pith:PYJJDMMS

pith:2016:PYJJDMMSC7BSJJOKYUUAB75MKT

not attested not anchored not stored refs pending

Alpha invariants of birationally rigid Fano threefolds

In-Kyun Kim, Joonyeong Won, Takuzo Okada

arxiv:1604.00252 v1 · 2016-04-01 · 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{PYJJDMMSC7BSJJOKYUUAB75MKT}

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	2026-05-18T01:17:54.221968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1291b19217c324a5cac52800ffac54e258b9250e0fa813860d504c32a5968c

Aliases

arxiv: 1604.00252 · arxiv_version: 1604.00252v1 · doi: 10.48550/arxiv.1604.00252 · pith_short_12: PYJJDMMSC7BS · pith_short_16: PYJJDMMSC7BSJJOK · pith_short_8: PYJJDMMS

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/PYJJDMMSC7BSJJOKYUUAB75MKT \
  | 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: 7e1291b19217c324a5cac52800ffac54e258b9250e0fa813860d504c32a5968c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e71d92876fbe8068e3c929fbb15c29e53b91e56628d0cbf20464c4b25c15aeb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-01T14:12:59Z",
    "title_canon_sha256": "44d80d565d617bea55a1d744efc8d673481f346029ba665cc11a67fd39e4dac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00252",
    "kind": "arxiv",
    "version": 1
  }
}