Pith Number

pith:T2GETZBQ

pith:2015:T2GETZBQQ36CC6QZXZQWUWHSZ3

not attested not anchored not stored refs pending

Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields

Caucher Birkar, Lei Zhang, Yifei Chen

arxiv:1507.08760 v2 · 2015-07-31 · 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{T2GETZBQQ36CC6QZXZQWUWHSZ3}

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	2026-05-18T01:34:32.681377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e8c49e43086fc217a19be616a58f2cefd8c1e2cec0d9aa2519e17d2f360eb14

Aliases

arxiv: 1507.08760 · arxiv_version: 1507.08760v2 · doi: 10.48550/arxiv.1507.08760 · pith_short_12: T2GETZBQQ36C · pith_short_16: T2GETZBQQ36CC6QZ · pith_short_8: T2GETZBQ

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/T2GETZBQQ36CC6QZXZQWUWHSZ3 \
  | 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: 9e8c49e43086fc217a19be616a58f2cefd8c1e2cec0d9aa2519e17d2f360eb14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4bf5b3c40be4e5a9ad4b36dfd999499f6565ec0f676dbf7bde3bdc6e77fa71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-31T05:58:25Z",
    "title_canon_sha256": "0ee011e7cb4384eb961e900c6f76f74878a62a3ae19638650caf9a64b48cba85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08760",
    "kind": "arxiv",
    "version": 2
  }
}