Pith Number

pith:EIKJVQI2

pith:2013:EIKJVQI2L6CZILV3AKHQHYG7YW

not attested not anchored not stored refs pending

Existence of flips and minimal models for 3-folds in char p

Caucher Birkar

arxiv:1311.3098 v2 · 2013-11-13 · 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{EIKJVQI2L6CZILV3AKHQHYG7YW}

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.

Cited by

1 paper in Pith

Abundance for threefolds in positive characteristic when $\nu=2$

Receipt and verification

First computed	2026-05-18T02:40:02.147255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22149ac11a5f85942ebb028f03e0dfc59ca2e0996855dd1030ebe98baa6335d7

Aliases

arxiv: 1311.3098 · arxiv_version: 1311.3098v2 · doi: 10.48550/arxiv.1311.3098 · pith_short_12: EIKJVQI2L6CZ · pith_short_16: EIKJVQI2L6CZILV3 · pith_short_8: EIKJVQI2

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/EIKJVQI2L6CZILV3AKHQHYG7YW \
  | 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: 22149ac11a5f85942ebb028f03e0dfc59ca2e0996855dd1030ebe98baa6335d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f6b82c2599c25643a83512f4c5f51a67bc2e4fb5034fa2294dfe829f2c82d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-13T12:05:09Z",
    "title_canon_sha256": "0a7e760c78154db000dcbe41b835df057c5e560fb9b8175dab3cf31f9d4ce6c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3098",
    "kind": "arxiv",
    "version": 2
  }
}