Pith Number

pith:3GTCZEG5

pith:2024:3GTCZEG5QK3MSSHMOW5IVMBUGI

not attested not anchored not stored refs pending

Abelian varieties genuinely of $\mathrm{GL}_n$-type

Enric Florit, Francesc Fit\'e, Xavier Guitart

arxiv:2412.21183 v2 · 2024-12-30 · 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{3GTCZEG5QK3MSSHMOW5IVMBUGI}

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	2026-07-05T11:20:37.195010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a62c90dd82b6c948ec75ba8ab0343223d06d55dc00dff2fecfdfa3a0974139

Aliases

arxiv: 2412.21183 · arxiv_version: 2412.21183v2 · doi: 10.48550/arxiv.2412.21183 · pith_short_12: 3GTCZEG5QK3M · pith_short_16: 3GTCZEG5QK3MSSHM · pith_short_8: 3GTCZEG5

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/3GTCZEG5QK3MSSHMOW5IVMBUGI \
  | 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: d9a62c90dd82b6c948ec75ba8ab0343223d06d55dc00dff2fecfdfa3a0974139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba32623fa73900b8ed0970264e93514601206bc1b9b3c1cf815a28923376be03",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-30T18:53:23Z",
    "title_canon_sha256": "a8e06b0b9e2c300b533894d1c1fe5c490488fbd6fe92843d826f9c1da3d5b520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21183",
    "kind": "arxiv",
    "version": 2
  }
}