Pith Number

pith:VW5B7LZG

pith:2004:VW5B7LZGGHF7VSAL5ND7HSS446

not attested not anchored not stored refs pending

On extensions and branching rules for modules close to completely splittable

Vladimir Shchigolev

arxiv:math/0408164 v1 · 2004-08-12 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VW5B7LZGGHF7VSAL5ND7HSS446}

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	2026-05-18T01:38:27.216363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adba1faf2631cbfac80beb47f3ca5ce7b37e59ae5462324cfbad614e4089bb00

Aliases

arxiv: math/0408164 · arxiv_version: math/0408164v1 · doi: 10.48550/arxiv.math/0408164 · pith_short_12: VW5B7LZGGHF7 · pith_short_16: VW5B7LZGGHF7VSAL · pith_short_8: VW5B7LZG

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/VW5B7LZGGHF7VSAL5ND7HSS446 \
  | 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: adba1faf2631cbfac80beb47f3ca5ce7b37e59ae5462324cfbad614e4089bb00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8ad6fc6a707e0aa18cb7781c0a41a4866b2c1e79ae448c010b90c2e780435d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-08-12T13:07:34Z",
    "title_canon_sha256": "963366e33e86d37e28efbbeee530b8cf0f05cf240ca38e44aec2bc63e4026398"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408164",
    "kind": "arxiv",
    "version": 1
  }
}