Pith Number

pith:76LBN264

pith:2013:76LBN264S3ZYNUVOWW4MSXHUDL

not attested not anchored not stored refs pending

Mumford-Tate groups of polarizable Hodge structures

Stefan Patrikis

arxiv:1302.1803 v2 · 2013-02-07 · 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{76LBN264S3ZYNUVOWW4MSXHUDL}

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	2026-05-18T02:48:10.095507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff9616ebdc96f386d2aeb5b8c95cf41ad5f088e830f0ee771750721689fdb396

Aliases

arxiv: 1302.1803 · arxiv_version: 1302.1803v2 · doi: 10.48550/arxiv.1302.1803 · pith_short_12: 76LBN264S3ZY · pith_short_16: 76LBN264S3ZYNUVO · pith_short_8: 76LBN264

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/76LBN264S3ZYNUVOWW4MSXHUDL \
  | 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: ff9616ebdc96f386d2aeb5b8c95cf41ad5f088e830f0ee771750721689fdb396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ddcebcb3c5f98f5c350de9275a803e28e151bedb51762e30563839ca3359ec9",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-07T17:14:40Z",
    "title_canon_sha256": "a9c5c27233f6b84018b8b9e9d220d04c026cd86d384d75555ac7e35f20b4fea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1803",
    "kind": "arxiv",
    "version": 2
  }
}