Pith Number

pith:VOIRSVL2

pith:2008:VOIRSVL2VL5GH2KUWIVMRCWIBL

not attested not anchored not stored refs pending

Exterior algebras and two conjectures on finite abelian groups

Qing Xiang, Tao Feng, Zhi-Wei Sun

arxiv:0808.2753 v4 · 2008-08-20 · math.GR · math.CO · 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{VOIRSVL2VL5GH2KUWIVMRCWIBL}

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	2026-05-18T04:24:35.467494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab9119557aaafa63e954b22ac88ac80ac49cedfd008e632efb15681e209952d9

Aliases

arxiv: 0808.2753 · arxiv_version: 0808.2753v4 · doi: 10.48550/arxiv.0808.2753 · pith_short_12: VOIRSVL2VL5G · pith_short_16: VOIRSVL2VL5GH2KU · pith_short_8: VOIRSVL2

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/VOIRSVL2VL5GH2KUWIVMRCWIBL \
  | 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: ab9119557aaafa63e954b22ac88ac80ac49cedfd008e632efb15681e209952d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "729cde011ac30ca4eb48e6cf793c0f69ada05357e24296535b1b410bc7cb427d",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-08-20T14:54:39Z",
    "title_canon_sha256": "bcd8aaf96dddb5ec22655563dee9169c91359d95d21fc0730ed4e4bd9a478641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2753",
    "kind": "arxiv",
    "version": 4
  }
}