Pith Number

pith:EKXQBMJT

pith:2013:EKXQBMJTYYDMWUVLCNDTWLKAKL

not attested not anchored not stored refs pending

Centralizers and pseudo-degree functions

Johan Richter

arxiv:1311.7666 v3 · 2013-11-29 · 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{EKXQBMJTYYDMWUVLCNDTWLKAKL}

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	2026-05-18T01:48:06.895266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22af00b133c606cb52ab13473b2d4052da44cfc33974b59d251f53081aa4dae6

Aliases

arxiv: 1311.7666 · arxiv_version: 1311.7666v3 · doi: 10.48550/arxiv.1311.7666 · pith_short_12: EKXQBMJTYYDM · pith_short_16: EKXQBMJTYYDMWUVL · pith_short_8: EKXQBMJT

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/EKXQBMJTYYDMWUVLCNDTWLKAKL \
  | 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: 22af00b133c606cb52ab13473b2d4052da44cfc33974b59d251f53081aa4dae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0710eb6ab34035f264e21944779f5feb42e1c2edbc28a77b1bbdbe5ad948101",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-11-29T18:57:21Z",
    "title_canon_sha256": "45c8206dff9fc176752c20c38d848c9f31a6dec6f78b7e34357471af3946ae76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7666",
    "kind": "arxiv",
    "version": 3
  }
}