Pith Number

pith:XUV5GDZ3

pith:2012:XUV5GDZ3RQ6VQNS5UA7V5E3F7G

not attested not anchored not stored refs pending

The isomorphism problem for linear representations and their graphs

Geertrui Van de Voorde, Philippe Cara, Sara Rottey

arxiv:1207.4726 v3 · 2012-07-19 · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUV5GDZ3RQ6VQNS5UA7V5E3F7G}

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	2026-05-18T03:36:46.403593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd2bd30f3b8c3d58365da03f5e9365f9b81c348f277f13fc60b1c25fecaaef47

Aliases

arxiv: 1207.4726 · arxiv_version: 1207.4726v3 · doi: 10.48550/arxiv.1207.4726 · pith_short_12: XUV5GDZ3RQ6V · pith_short_16: XUV5GDZ3RQ6VQNS5 · pith_short_8: XUV5GDZ3

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/XUV5GDZ3RQ6VQNS5UA7V5E3F7G \
  | 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: bd2bd30f3b8c3d58365da03f5e9365f9b81c348f277f13fc60b1c25fecaaef47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "004a4b327469f1cecf050bb413ad61c02a4c983338c45ce6fe9c27bd3c3ad42e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-19T16:26:11Z",
    "title_canon_sha256": "1297bb29cc23f4febc74dc738cb9eb606a9f8b2be05451b060cbcfbaa51826c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4726",
    "kind": "arxiv",
    "version": 3
  }
}