Pith Number

pith:EZ3J27BY

pith:2011:EZ3J27BYVT37F3JXN5QJUIDZ6Q

not attested not anchored not stored refs pending

Some new results on Gr\"obner-Shirshov bases

K. P. Shum, L. A. Bokut, Yuqun Chen

arxiv:1102.0449 v1 · 2011-01-08 · 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{EZ3J27BYVT37F3JXN5QJUIDZ6Q}

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	2026-05-18T03:50:37.718545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26769d7c38acf7f2ed376f609a2079f407a414a53903359e85749e4cd1900f4c

Aliases

arxiv: 1102.0449 · arxiv_version: 1102.0449v1 · doi: 10.48550/arxiv.1102.0449 · pith_short_12: EZ3J27BYVT37 · pith_short_16: EZ3J27BYVT37F3JX · pith_short_8: EZ3J27BY

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/EZ3J27BYVT37F3JXN5QJUIDZ6Q \
  | 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: 26769d7c38acf7f2ed376f609a2079f407a414a53903359e85749e4cd1900f4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de860f89f5425a6f194657414395322f154df4c863fdf59ee58b4dfddc58c8f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-08T01:15:56Z",
    "title_canon_sha256": "d3647c22090369e1fe3a9d8b7d68b1caf4b5efe86773c80fb3dbfac956c57b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0449",
    "kind": "arxiv",
    "version": 1
  }
}