Pith Number

pith:SSS7BXWN

pith:2006:SSS7BXWN3OV7XBCEGNOI6TQPLI

not attested not anchored not stored refs pending

Classification of Element Systems over Finite Commutative Groups

Hengtai Wang, Junqin Li, Min Wu, Shouchuan Zhang

arxiv:math/0612500 v3 · 2006-12-18 · 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{SSS7BXWN3OV7XBCEGNOI6TQPLI}

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	2026-05-18T04:00:16.361474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a5f0decddbabfb8444335c8f4e0f5a06a95672f7fb4100f8807445eebe49d7

Aliases

arxiv: math/0612500 · arxiv_version: math/0612500v3 · doi: 10.48550/arxiv.math/0612500 · pith_short_12: SSS7BXWN3OV7 · pith_short_16: SSS7BXWN3OV7XBCE · pith_short_8: SSS7BXWN

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/SSS7BXWN3OV7XBCEGNOI6TQPLI \
  | 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: 94a5f0decddbabfb8444335c8f4e0f5a06a95672f7fb4100f8807445eebe49d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df6c4bc4891242e9861f6a956d2ed87614388457fc24ebaf37a003207ef417d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2006-12-18T07:09:55Z",
    "title_canon_sha256": "1695577cfeacd71ac694907069300060bc2cafa0ebc0a3b69da277d3ce86b634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612500",
    "kind": "arxiv",
    "version": 3
  }
}