Pith Number

pith:EPLYGJEW

pith:2015:EPLYGJEWVB6V3QMJKC7AH7VGOH

not attested not anchored not stored refs pending

Finite Abelian algebras are dualizable

Pierre Gillibert

arxiv:1503.02651 v1 · 2015-03-09 · 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{EPLYGJEWVB6V3QMJKC7AH7VGOH}

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	2026-05-18T02:25:19.281625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d7832496a87d5dc18950be03fea671e0f028a39899e1b7708c6f5738d6fb86

Aliases

arxiv: 1503.02651 · arxiv_version: 1503.02651v1 · doi: 10.48550/arxiv.1503.02651 · pith_short_12: EPLYGJEWVB6V · pith_short_16: EPLYGJEWVB6V3QMJ · pith_short_8: EPLYGJEW

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/EPLYGJEWVB6V3QMJKC7AH7VGOH \
  | 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: 23d7832496a87d5dc18950be03fea671e0f028a39899e1b7708c6f5738d6fb86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20dd5aac6ce04d32fda501b3cf37b59ed7d1e480e80c5a2d4c4214026782b15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-03-09T19:53:28Z",
    "title_canon_sha256": "e6170844fe479c9b37d7a27dbc0fd41aee05ca79c465a5d0aa902769bb8a0a26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02651",
    "kind": "arxiv",
    "version": 1
  }
}