Pith Number

pith:QP53LZK2

pith:2014:QP53LZK2CNR2NDAFILVE3ZB3IX

not attested not anchored not stored refs pending

Existence of Mori fibre spaces for 3-folds in char $p$

Caucher Birkar, Joe Waldron

arxiv:1410.4511 v1 · 2014-10-16 · 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{QP53LZK2CNR2NDAFILVE3ZB3IX}

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	2026-05-18T02:39:56.012778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83fbb5e55a1363a68c0542ea4de43b45f40ff929c16c03e92b3957fd53926439

Aliases

arxiv: 1410.4511 · arxiv_version: 1410.4511v1 · doi: 10.48550/arxiv.1410.4511 · pith_short_12: QP53LZK2CNR2 · pith_short_16: QP53LZK2CNR2NDAF · pith_short_8: QP53LZK2

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/QP53LZK2CNR2NDAFILVE3ZB3IX \
  | 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: 83fbb5e55a1363a68c0542ea4de43b45f40ff929c16c03e92b3957fd53926439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77d715a041afce53cd73063f762d7cce4bf5ccfa2b97e46b76ad0562dd89841",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-16T17:36:56Z",
    "title_canon_sha256": "3dc558a80d86a5dc7ed757d7078bbbed276739fda823fa680aac709fa8105bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4511",
    "kind": "arxiv",
    "version": 1
  }
}