Pith Number

pith:T2JDBZPP

pith:2016:T2JDBZPPYSLNO3GBZW6JJYT64P

not attested not anchored not stored refs pending

Level structures on abelian varieties, Kodaira dimensions, and Lang's conjecture

Anthony V\'arilly-Alvarado, Dan Abramovich

arxiv:1601.02483 v3 · 2016-01-11 · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T2JDBZPPYSLNO3GBZW6JJYT64P}

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	2026-05-18T00:59:26.094166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e9230e5efc496d76cc1cdbc94e27ee3d513d8a2b3a48055f7ae969a6498717b

Aliases

arxiv: 1601.02483 · arxiv_version: 1601.02483v3 · doi: 10.48550/arxiv.1601.02483 · pith_short_12: T2JDBZPPYSLN · pith_short_16: T2JDBZPPYSLNO3GB · pith_short_8: T2JDBZPP

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/T2JDBZPPYSLNO3GBZW6JJYT64P \
  | 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: 9e9230e5efc496d76cc1cdbc94e27ee3d513d8a2b3a48055f7ae969a6498717b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "868762877a54458cd02cd53939cbe62c4903b9ca7b845e631e5b8529909e0cae",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-11T15:43:14Z",
    "title_canon_sha256": "01fdf0c240449bc28c81a03ba79381bcecda19c44d46a6ef738b2d39bfbc2f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02483",
    "kind": "arxiv",
    "version": 3
  }
}