Pith Number

pith:GMOAH3FG

pith:2013:GMOAH3FGOOOHWP3LCO7L3WATBR

not attested not anchored not stored refs pending

The Hodge group and endomorphism algebra of an Abelian variety

Mikhail Borovoi

arxiv:1310.5236 v1 · 2013-10-19 · 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{GMOAH3FGOOOHWP3LCO7L3WATBR}

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	2026-05-18T03:09:46.525496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

331c03eca6739c7b3f6b13bebdd8130c6a15a884e5e7a13e7df0aa6ac2b26e22

Aliases

arxiv: 1310.5236 · arxiv_version: 1310.5236v1 · doi: 10.48550/arxiv.1310.5236 · pith_short_12: GMOAH3FGOOOH · pith_short_16: GMOAH3FGOOOHWP3L · pith_short_8: GMOAH3FG

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/GMOAH3FGOOOHWP3LCO7L3WATBR \
  | 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: 331c03eca6739c7b3f6b13bebdd8130c6a15a884e5e7a13e7df0aa6ac2b26e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "507155a56ad20e8e57cb3faa4bda142b4368e4f90598a26ef5ae7f948952759f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-19T15:05:34Z",
    "title_canon_sha256": "64d35149c3fdf578d7be65498aed88c92ea51a62c01766def8b29d6c62224d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5236",
    "kind": "arxiv",
    "version": 1
  }
}