Pith Number

pith:KCVHC7JU

pith:2019:KCVHC7JU25UKQBIZ4MHWO5QFKX

not attested not anchored not stored refs pending

The degree of irrationality of most abelian surfaces is 4

Olivier Martin

arxiv:1911.00296 v1 · 2019-11-01 · 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{KCVHC7JU25UKQBIZ4MHWO5QFKX}

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

A primer on measures of irrationality

Receipt and verification

First computed	2026-07-05T00:16:25.659497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50aa717d34d768a80519e30f67760555c7f807cb70f01cf3ba26c56ddd56fdab

Aliases

arxiv: 1911.00296 · arxiv_version: 1911.00296v1 · doi: 10.48550/arxiv.1911.00296 · pith_short_12: KCVHC7JU25UK · pith_short_16: KCVHC7JU25UKQBIZ · pith_short_8: KCVHC7JU

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/KCVHC7JU25UKQBIZ4MHWO5QFKX \
  | 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: 50aa717d34d768a80519e30f67760555c7f807cb70f01cf3ba26c56ddd56fdab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c4a0df3d4ec119f456762cd464c4ea4958450652fe8e5ff60d116eda25ead7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-11-01T10:55:04Z",
    "title_canon_sha256": "1d2002e2493227a1ee44f7d763a2518cce96db66f8deb30f1a06eca0335c2080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.00296",
    "kind": "arxiv",
    "version": 1
  }
}