Pith Number

pith:QIA5S6BQ

pith:2007:QIA5S6BQGAZO62ZLGVKQJGFIM7

not attested not anchored not stored refs pending

Valdivia compact Abelian groups

Wieslaw Kubi\'s

arxiv:0706.3772 v2 · 2007-06-26 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIA5S6BQGAZO62ZLGVKQJGFIM7}

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	2026-05-18T03:42:45.108433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8201d978303032ef6b2b35550498a867f9cf1b785a179b9b52f1b426fd87993f

Aliases

arxiv: 0706.3772 · arxiv_version: 0706.3772v2 · doi: 10.48550/arxiv.0706.3772 · pith_short_12: QIA5S6BQGAZO · pith_short_16: QIA5S6BQGAZO62ZL · pith_short_8: QIA5S6BQ

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/QIA5S6BQGAZO62ZLGVKQJGFIM7 \
  | 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: 8201d978303032ef6b2b35550498a867f9cf1b785a179b9b52f1b426fd87993f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b775397ae11a68fe1383375c264b13d7868b9e8a7687e7df44903480f25d67d9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2007-06-26T08:12:54Z",
    "title_canon_sha256": "84216290537bf6f9b58077582a5ad76fd23848d050b2aec7729af9488dbbe426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.3772",
    "kind": "arxiv",
    "version": 2
  }
}