Pith Number

pith:J3VI37ZV

pith:2018:J3VI37ZVZAORF3MHAJYFKNL7A2

not attested not anchored not stored refs pending

The Mumford--Tate conjecture for products of abelian varieties

Johan Commelin

arxiv:1804.06840 v1 · 2018-04-18 · 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{J3VI37ZVZAORF3MHAJYFKNL7A2}

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	2026-05-18T00:18:05.612093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eea8dff35c81d12ed87027055357f069303ba3f9dfc137c0750dd1c2cff9c9f

Aliases

arxiv: 1804.06840 · arxiv_version: 1804.06840v1 · doi: 10.48550/arxiv.1804.06840 · pith_short_12: J3VI37ZVZAOR · pith_short_16: J3VI37ZVZAORF3MH · pith_short_8: J3VI37ZV

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/J3VI37ZVZAORF3MHAJYFKNL7A2 \
  | 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: 4eea8dff35c81d12ed87027055357f069303ba3f9dfc137c0750dd1c2cff9c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8ec3621108f2630e9092442d448b54ad7081fc17fd91d07ffa89fcfe47f5def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-18T17:59:11Z",
    "title_canon_sha256": "8db4f313a137b92bcdc80fc9fd565a923e9f39b614c0f7e229a871b00fb20c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06840",
    "kind": "arxiv",
    "version": 1
  }
}