Pith Number

pith:KF5RILH5

pith:2014:KF5RILH5HTITQS7JPP33GXP54C

not attested not anchored not stored refs pending

Free integro-differential algebras and Gr\"obner-Shirshov bases

Li Guo, Markus Rosenkranz, Xing Gao

arxiv:1402.1890 v4 · 2014-02-08 · 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{KF5RILH5HTITQS7JPP33GXP54C}

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	2026-05-18T01:30:15.642731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517b142cfd3cd1384be97bf7b35dfde09eab33144f672c0403187d87fab287a8

Aliases

arxiv: 1402.1890 · arxiv_version: 1402.1890v4 · doi: 10.48550/arxiv.1402.1890 · pith_short_12: KF5RILH5HTIT · pith_short_16: KF5RILH5HTITQS7J · pith_short_8: KF5RILH5

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/KF5RILH5HTITQS7JPP33GXP54C \
  | 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: 517b142cfd3cd1384be97bf7b35dfde09eab33144f672c0403187d87fab287a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb88c083b3f29d4e6f7e3246a2898497de7bd9936433457d0cb130a91a191a65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-02-08T21:04:00Z",
    "title_canon_sha256": "64f2e65b93b551cc28cb4e0af4fee49a2180f31546557837ef8961943b6efbc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1890",
    "kind": "arxiv",
    "version": 4
  }
}