Pith Number

pith:IPUGJUD2

pith:2016:IPUGJUD2BJVZDSERQB5WC4QPEA

not attested not anchored not stored refs pending

Rules of Three for commutation relations

Jonah Blasiak, Sergey Fomin

arxiv:1608.05042 v2 · 2016-08-17 · math.RA · 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{IPUGJUD2BJVZDSERQB5WC4QPEA}

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	2026-05-18T00:55:57.753253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e864d07a0a6b91c891807b61720f20003c758b53d679775eb303d8450fb7bd

Aliases

arxiv: 1608.05042 · arxiv_version: 1608.05042v2 · doi: 10.48550/arxiv.1608.05042 · pith_short_12: IPUGJUD2BJVZ · pith_short_16: IPUGJUD2BJVZDSER · pith_short_8: IPUGJUD2

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/IPUGJUD2BJVZDSERQB5WC4QPEA \
  | 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: 43e864d07a0a6b91c891807b61720f20003c758b53d679775eb303d8450fb7bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad8855776f2d7c8fd8cf7b1abbd744c92e890c5fb9cfb7a2f93c793fe22b3d8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-08-17T18:44:49Z",
    "title_canon_sha256": "d20d28bc990f549e5ca9c9c570c40cc09378eb213fc25b37bab89891ae2fe28c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05042",
    "kind": "arxiv",
    "version": 2
  }
}