Pith Number

pith:YGDEBGZT

pith:2008:YGDEBGZTITRUPNN53BN3URSG6F

not attested not anchored not stored refs pending

Groebner-Shirshov bases for free inverse semigroups

L. A. Bokut, Xiangui Zhao, Yuqun Chen

arxiv:0804.0959 v4 · 2008-04-07 · 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{YGDEBGZTITRUPNN53BN3URSG6F}

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	2026-05-18T03:10:34.698391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c186409b3344e347b5bdd85bba4646f161f958cb83679d33c5e7158b263f3d40

Aliases

arxiv: 0804.0959 · arxiv_version: 0804.0959v4 · doi: 10.48550/arxiv.0804.0959 · pith_short_12: YGDEBGZTITRU · pith_short_16: YGDEBGZTITRUPNN5 · pith_short_8: YGDEBGZT

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/YGDEBGZTITRUPNN53BN3URSG6F \
  | 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: c186409b3344e347b5bdd85bba4646f161f958cb83679d33c5e7158b263f3d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5470725c42ab736a8c88c7ca9be2599b19ab09ffa8acdb3ef6f3113bdac4ff84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-04-07T04:56:12Z",
    "title_canon_sha256": "358c4c899a01fad5e6db1557fe801c543f08f315d1b15ca5a1dbca8cfb67f864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0959",
    "kind": "arxiv",
    "version": 4
  }
}