Pith Number

pith:5FAJEK4V

pith:2010:5FAJEK4VDVK65UOBCKCGJ6MKLF

not attested not anchored not stored refs pending

Finitely Presented Monoids and Algebras defined by Permutation Relations of Abelian Type

Eric Jespers, Ferran Cedo, Georg Klein

arxiv:1006.3266 v1 · 2010-06-16 · 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{5FAJEK4VDVK65UOBCKCGJ6MKLF}

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	2026-05-18T02:31:36.363004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e940922b951d55eed1c1128464f98a5974aee40a9a778b8d865fa675c6e2ce9a

Aliases

arxiv: 1006.3266 · arxiv_version: 1006.3266v1 · doi: 10.48550/arxiv.1006.3266 · pith_short_12: 5FAJEK4VDVK6 · pith_short_16: 5FAJEK4VDVK65UOB · pith_short_8: 5FAJEK4V

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/5FAJEK4VDVK65UOBCKCGJ6MKLF \
  | 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: e940922b951d55eed1c1128464f98a5974aee40a9a778b8d865fa675c6e2ce9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfa8ca4d77587c0a270f92802efea88c3bf3fe3270fc4525926d5184f39c75ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-06-16T16:37:25Z",
    "title_canon_sha256": "e31df61020e254067401b5496f9ebdcf021d2b19a89adee3f60428a536678e9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3266",
    "kind": "arxiv",
    "version": 1
  }
}