Pith Number

pith:25PBY3VP

pith:2017:25PBY3VPIXW52FSBTC4DAIKTF3

not attested not anchored not stored refs pending

Universal enveloping commutative Rota-Baxter algebras of precommutative and postcommutative algebras

Vsevolod Gubarev

arxiv:1710.01165 v1 · 2017-10-02 · 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{25PBY3VPIXW52FSBTC4DAIKTF3}

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	2026-05-18T00:25:23.457450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d75e1c6eaf45eddd164198b83021532ec19e13b987ffce42587cf4ca98e824ef

Aliases

arxiv: 1710.01165 · arxiv_version: 1710.01165v1 · doi: 10.48550/arxiv.1710.01165 · pith_short_12: 25PBY3VPIXW5 · pith_short_16: 25PBY3VPIXW52FSB · pith_short_8: 25PBY3VP

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/25PBY3VPIXW52FSBTC4DAIKTF3 \
  | 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: d75e1c6eaf45eddd164198b83021532ec19e13b987ffce42587cf4ca98e824ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "debc8fd00276ee51fb14a9960d9f3fde86639ef91ce928aa82a480fa56bca47b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-10-02T05:10:49Z",
    "title_canon_sha256": "14cf584894d1b49195e31338e78ece12017c3345ccdcf628cff6fa9fb0ccc5f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01165",
    "kind": "arxiv",
    "version": 1
  }
}