Pith Number

pith:LP6IOIMC

pith:2014:LP6IOIMCSXNXTSQDSN3ACOQFDY

not attested not anchored not stored refs pending

Strongly barycentrically associative and preassociative functions

Bruno Teheux, Jean-Luc Marichal

arxiv:1411.5897 v2 · 2014-11-21 · 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{LP6IOIMCSXNXTSQDSN3ACOQFDY}

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	2026-05-18T01:22:08.376471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bfc87218295db79ca039376013a051e129a2057bb8ce1108846f9edb6d18795

Aliases

arxiv: 1411.5897 · arxiv_version: 1411.5897v2 · doi: 10.48550/arxiv.1411.5897 · pith_short_12: LP6IOIMCSXNX · pith_short_16: LP6IOIMCSXNXTSQD · pith_short_8: LP6IOIMC

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/LP6IOIMCSXNXTSQDSN3ACOQFDY \
  | 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: 5bfc87218295db79ca039376013a051e129a2057bb8ce1108846f9edb6d18795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959c1ab44e54bc1fa37b100db88d8e089dad273dff14fce7ae6d543c1c3f3dd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-11-21T14:56:29Z",
    "title_canon_sha256": "9228734518eb79c7fd5718a2c4edc6c6c1494fa40781c5b8dce19e5e9d19dacc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5897",
    "kind": "arxiv",
    "version": 2
  }
}