Pith Number

pith:WW3PZNRB

pith:2015:WW3PZNRBLJATADTPGHMOUZFPIT

not attested not anchored not stored refs pending

Semigroup graded algebras and graded PI-exponent

Alexey Gordienko, Eric Jespers, Geoffrey Janssens

arxiv:1511.01860 v2 · 2015-11-05 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW3PZNRBLJATADTPGHMOUZFPIT}

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	2026-05-18T00:16:14.926800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b6fcb6215a41300e6f31d8ea64af44f144223a75aedcf7829ad352ab319438

Aliases

arxiv: 1511.01860 · arxiv_version: 1511.01860v2 · doi: 10.48550/arxiv.1511.01860 · pith_short_12: WW3PZNRBLJAT · pith_short_16: WW3PZNRBLJATADTP · pith_short_8: WW3PZNRB

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/WW3PZNRBLJATADTPGHMOUZFPIT \
  | 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: b5b6fcb6215a41300e6f31d8ea64af44f144223a75aedcf7829ad352ab319438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20a3b324a16fafe6a068f39382a4aa64af3a971f4f9c35d6605b2a602a60dd50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-05T19:29:59Z",
    "title_canon_sha256": "cb8046280260200b4c08419306028c653c48b6e915b48152511bfc26470b80da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01860",
    "kind": "arxiv",
    "version": 2
  }
}