Pith Number

pith:2ZKFICXM

pith:2015:2ZKFICXMRGFVHHZAGMUA5RF6KA

not attested not anchored not stored refs pending

Free quadri-algebras and dual quadri-algebras

Lo\"ic Foissy

arxiv:1504.06056 v1 · 2015-04-23 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZKFICXMRGFVHHZAGMUA5RF6KA}

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	2026-05-18T02:18:02.735072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d654540aec898b539f2033280ec4be50179bccef801e1ce69556bf8202422784

Aliases

arxiv: 1504.06056 · arxiv_version: 1504.06056v1 · doi: 10.48550/arxiv.1504.06056 · pith_short_12: 2ZKFICXMRGFV · pith_short_16: 2ZKFICXMRGFVHHZA · pith_short_8: 2ZKFICXM

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/2ZKFICXMRGFVHHZAGMUA5RF6KA \
  | 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: d654540aec898b539f2033280ec4be50179bccef801e1ce69556bf8202422784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0acdd2932172d9a085304da0c7b8e160ee091676102afd24dfbfce9723df0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-23T06:43:19Z",
    "title_canon_sha256": "8dc071c9f9844c18297d5031364a38b467b99f9c7f9f85a4a7e6fa517ebebe78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06056",
    "kind": "arxiv",
    "version": 1
  }
}