Pith Number

pith:C7P3NZS2

pith:2014:C7P3NZS2U4HOPGJWSX5HS6BRQG

not attested not anchored not stored refs pending

Barycentrically associative and preassociative functions

Bruno Teheux, Jean-Luc Marichal

arxiv:1406.4345 v2 · 2014-06-17 · 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{C7P3NZS2U4HOPGJWSX5HS6BRQG}

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	2026-05-18T02:20:10.385907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17dfb6e65aa70ee7993695fa797831819966e65023e5dabe6a0238ee7d7312d3

Aliases

arxiv: 1406.4345 · arxiv_version: 1406.4345v2 · doi: 10.48550/arxiv.1406.4345 · pith_short_12: C7P3NZS2U4HO · pith_short_16: C7P3NZS2U4HOPGJW · pith_short_8: C7P3NZS2

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/C7P3NZS2U4HOPGJWSX5HS6BRQG \
  | 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: 17dfb6e65aa70ee7993695fa797831819966e65023e5dabe6a0238ee7d7312d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df9e5ea18f3db208600074a6139d42ca7fab3cb9f3e9f3586e5e97b14a48893",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-06-17T12:33:41Z",
    "title_canon_sha256": "a2c82ff37b5d2808c955d045341235e9878d1b57c90c54676e9356ac9b18874b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4345",
    "kind": "arxiv",
    "version": 2
  }
}