Pith Number

pith:AZ7YL4FT

pith:2014:AZ7YL4FT3DOZHM3VOGUMG57TYG

not attested not anchored not stored refs pending

Special subvarieties in Mumford-Tate varieties

Abolfazl Mohajer, Kang Zuo, Stefan M\"uller-Stach

arxiv:1410.4654 v5 · 2014-10-17 · 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{AZ7YL4FT3DOZHM3VOGUMG57TYG}

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	2026-05-17T23:52:29.585505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

067f85f0b3d8dd93b37571a8c377f3c18c98665038b9b4d72a39961f6de40c6b

Aliases

arxiv: 1410.4654 · arxiv_version: 1410.4654v5 · doi: 10.48550/arxiv.1410.4654 · pith_short_12: AZ7YL4FT3DOZ · pith_short_16: AZ7YL4FT3DOZHM3V · pith_short_8: AZ7YL4FT

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/AZ7YL4FT3DOZHM3VOGUMG57TYG \
  | 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: 067f85f0b3d8dd93b37571a8c377f3c18c98665038b9b4d72a39961f6de40c6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b147d581bf12de052d976909c672a2073c1bb10e3ace83fd54a387dcb41da60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-10-17T07:28:56Z",
    "title_canon_sha256": "39b14666a76bc322b9a2d69733627d50ccb0ea4d6905e4f2b1027280daec0f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4654",
    "kind": "arxiv",
    "version": 5
  }
}