Pith Number

pith:JJ255TYC

pith:2013:JJ255TYCVLER5COEO6L76J3CX6

not attested not anchored not stored refs pending

Relative Garside elements of Artin monoids

Barbu Berceanu, Usman Ali, Zaffar Iqbal

arxiv:1312.3411 v1 · 2013-12-12 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJ255TYCVLER5COEO6L76J3CX6}

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	2026-05-18T03:04:58.617477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a75decf02aac91e89c47797ff2762bfa9c20078340090a92a61219f1893e1a3

Aliases

arxiv: 1312.3411 · arxiv_version: 1312.3411v1 · doi: 10.48550/arxiv.1312.3411 · pith_short_12: JJ255TYCVLER · pith_short_16: JJ255TYCVLER5COE · pith_short_8: JJ255TYC

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/JJ255TYCVLER5COEO6L76J3CX6 \
  | 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: 4a75decf02aac91e89c47797ff2762bfa9c20078340090a92a61219f1893e1a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27caeb48873c4551d4f0bbf375322932adaa67e861c5aaa5f4c2cbb1643f77d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-12-12T07:33:25Z",
    "title_canon_sha256": "6bf0dc1b7e620b061510bb1d5d66ceed1e0f1de0655f622d9a850bb43620984f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3411",
    "kind": "arxiv",
    "version": 1
  }
}