Pith Number

pith:K77EL2YU

pith:2018:K77EL2YURJVPQNMDTPNR5C34CU

not attested not anchored not stored refs pending

The Betti map associated to a section of an abelian scheme (with an appendix by Z. Gao)

Pietro Corvaja, Umberto Zannier, Yves Andr\'e

arxiv:1802.03204 v1 · 2018-02-09 · 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{K77EL2YURJVPQNMDTPNR5C34CU}

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

Motivic Galois theory for one-loop Feynman integrals in momentum space

Receipt and verification

First computed	2026-05-18T00:23:58.311355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57fe45eb148a6af835839bdb1e8b7c1515d0ed5755e12fe20bbd12be46bfbc3e

Aliases

arxiv: 1802.03204 · arxiv_version: 1802.03204v1 · doi: 10.48550/arxiv.1802.03204 · pith_short_12: K77EL2YURJVP · pith_short_16: K77EL2YURJVPQNMD · pith_short_8: K77EL2YU

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/K77EL2YURJVPQNMDTPNR5C34CU \
  | 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: 57fe45eb148a6af835839bdb1e8b7c1515d0ed5755e12fe20bbd12be46bfbc3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08ed93fa86483a5c7ab389d681eafafbae6e46a43f344bc3d0677c2881ddd2f0",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-09T11:10:47Z",
    "title_canon_sha256": "466b863f0b23658b60c639588d7fa22b8802a678ec669e54b17657ef748fd1a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03204",
    "kind": "arxiv",
    "version": 1
  }
}