Pith Number

pith:GQ7LN2ST

pith:2011:GQ7LN2STC6XWI2LWPNVFU6IHKE

not attested not anchored not stored refs pending

Non-normal abelian covers

Rita Pardini, Valery Alexeev

arxiv:1102.4184 v3 · 2011-02-21 · 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{GQ7LN2STC6XWI2LWPNVFU6IHKE}

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	2026-05-17T23:53:36.724042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

343eb6ea5317af6469767b6a5a790751211381d76a76e748577d8f91d801c2a2

Aliases

arxiv: 1102.4184 · arxiv_version: 1102.4184v3 · doi: 10.48550/arxiv.1102.4184 · pith_short_12: GQ7LN2STC6XW · pith_short_16: GQ7LN2STC6XWI2LW · pith_short_8: GQ7LN2ST

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/GQ7LN2STC6XWI2LWPNVFU6IHKE \
  | 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: 343eb6ea5317af6469767b6a5a790751211381d76a76e748577d8f91d801c2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce82d6d76139a98455435166856495f56e3585d928d3341a7305e6e7f01bc30e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-21T10:45:30Z",
    "title_canon_sha256": "cf5da66398639ead25c05bec11a66dc7c295629eef91bb1a00750af72ceeba0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4184",
    "kind": "arxiv",
    "version": 3
  }
}