Pith Number

pith:HRUY5PUO

pith:2017:HRUY5PUO4ADKJSRXYANIVXG6PN

not attested not anchored not stored refs pending

Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p>0

Christopher D. Hacon, Lei Zhang, Zsolt Patakfalvi

arxiv:1703.06631 v1 · 2017-03-20 · 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{HRUY5PUO4ADKJSRXYANIVXG6PN}

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	2026-05-17T23:40:36.790015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c698ebe8ee006a4ca37c01a8adcde7b4db6330cb4ebe58928e200404dc54890

Aliases

arxiv: 1703.06631 · arxiv_version: 1703.06631v1 · doi: 10.48550/arxiv.1703.06631 · pith_short_12: HRUY5PUO4ADK · pith_short_16: HRUY5PUO4ADKJSRX · pith_short_8: HRUY5PUO

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/HRUY5PUO4ADKJSRXYANIVXG6PN \
  | 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: 3c698ebe8ee006a4ca37c01a8adcde7b4db6330cb4ebe58928e200404dc54890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c7a99d7ea36e0ae1dee97c40d14f87ebeb95be6421bc809000a61d4a6005ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-20T08:19:48Z",
    "title_canon_sha256": "e12161082c2138f2f7bbfb63b40c32e27f201b2b02fcb639192c2c4bd78e452c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06631",
    "kind": "arxiv",
    "version": 1
  }
}