Pith Number

pith:SXTN7WCW

pith:2017:SXTN7WCWIVUYBD7GMOHWVBL3H4

not attested not anchored not stored refs pending

Bisymmetric and quasitrivial operations: characterizations and enumerations

Jimmy Devillet

arxiv:1712.07856 v2 · 2017-12-21 · math.RA · cs.DM · 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{SXTN7WCWIVUYBD7GMOHWVBL3H4}

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	2026-05-18T00:25:35.377851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95e6dfd8564569808fe6638f6a857b3f3584c43f74210084dacba462cfd3dc38

Aliases

arxiv: 1712.07856 · arxiv_version: 1712.07856v2 · doi: 10.48550/arxiv.1712.07856 · pith_short_12: SXTN7WCWIVUY · pith_short_16: SXTN7WCWIVUYBD7G · pith_short_8: SXTN7WCW

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/SXTN7WCWIVUYBD7GMOHWVBL3H4 \
  | 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: 95e6dfd8564569808fe6638f6a857b3f3584c43f74210084dacba462cfd3dc38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc9f017e75fb28074b7f24a112483cbe8446ed31bffe0b500ca712facf92a8bd",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-12-21T10:17:06Z",
    "title_canon_sha256": "b43aef52d266b613db5e780442b6ffbe4b35a3b671b162f111c5a8d6844f1ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07856",
    "kind": "arxiv",
    "version": 2
  }
}