Pith Number

pith:BR2F4G5J

pith:2014:BR2F4G5JLVPBISP3LYHWB5EOVY

not attested not anchored not stored refs pending

Gr\"obner-Shirshov basis for the finitely presented algebras defined by permutation relations of symmetric type

Jianjun Qiu, Yuqun Chen

arxiv:1403.8076 v1 · 2014-03-25 · 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{BR2F4G5JLVPBISP3LYHWB5EOVY}

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	2026-05-18T02:55:11.887735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c745e1ba95d5e1449fb5e0f60f48eae34867404ae140999e6e7f0c470ffc32f

Aliases

arxiv: 1403.8076 · arxiv_version: 1403.8076v1 · doi: 10.48550/arxiv.1403.8076 · pith_short_12: BR2F4G5JLVPB · pith_short_16: BR2F4G5JLVPBISP3 · pith_short_8: BR2F4G5J

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/BR2F4G5JLVPBISP3LYHWB5EOVY \
  | 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: 0c745e1ba95d5e1449fb5e0f60f48eae34867404ae140999e6e7f0c470ffc32f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "971bdc45227212308856ddac4a290604f2f5e16758bed6507494e19e85a272d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-03-25T15:16:39Z",
    "title_canon_sha256": "1f1c9ab577222c4abdb691de7bd1cad67cc6f47f53a51b0853e84be1f0e9fa07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.8076",
    "kind": "arxiv",
    "version": 1
  }
}