Pith Number

pith:FD2M7RWS

pith:2013:FD2M7RWSYF3PJVAA6TD6NPWQNF

not attested not anchored not stored refs pending

On substitution algebras of permutations

Mohammad Assem

arxiv:1307.4222 v1 · 2013-07-16 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FD2M7RWSYF3PJVAA6TD6NPWQNF}

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	2026-05-18T03:18:19.364329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28f4cfc6d2c176f4d400f4c7e6bed069741c6f6cba643397faa909237de03e1f

Aliases

arxiv: 1307.4222 · arxiv_version: 1307.4222v1 · doi: 10.48550/arxiv.1307.4222 · pith_short_12: FD2M7RWSYF3P · pith_short_16: FD2M7RWSYF3PJVAA · pith_short_8: FD2M7RWS

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/FD2M7RWSYF3PJVAA6TD6NPWQNF \
  | 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: 28f4cfc6d2c176f4d400f4c7e6bed069741c6f6cba643397faa909237de03e1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5bfcbaf26316526afdc5764b2edbf03f5193851c61d64923af291da92ceb019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-07-16T09:41:34Z",
    "title_canon_sha256": "380ad4debb57ce23cc926394ca6e3e38f0f8538bb2aec9562214445dbd471c96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4222",
    "kind": "arxiv",
    "version": 1
  }
}