Pith Number

pith:MX4FZDPZ

pith:2014:MX4FZDPZYM2VZXZD4ZHBOGW7JH

not attested not anchored not stored refs pending

Associative string functions

Bruno Teheux, Erkko Lehtonen, Jean-Luc Marichal

arxiv:1403.7540 v2 · 2014-03-28 · math.GR · cs.DM · 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{MX4FZDPZYM2VZXZD4ZHBOGW7JH}

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	2026-05-18T02:30:47.389381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65f85c8df9c3355cdf23e64e171adf49f7506b74f1ac7a8c1297f9cf97471a43

Aliases

arxiv: 1403.7540 · arxiv_version: 1403.7540v2 · doi: 10.48550/arxiv.1403.7540 · pith_short_12: MX4FZDPZYM2V · pith_short_16: MX4FZDPZYM2VZXZD · pith_short_8: MX4FZDPZ

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/MX4FZDPZYM2VZXZD4ZHBOGW7JH \
  | 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: 65f85c8df9c3355cdf23e64e171adf49f7506b74f1ac7a8c1297f9cf97471a43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05885f99f35e5dc7f23b2f1e965c143bdfc468328605b9877dc98dca7f24d2d2",
    "cross_cats_sorted": [
      "cs.DM",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-28T20:44:18Z",
    "title_canon_sha256": "fa33fdc99551a1a9c052cfc9f0e6ca2c9935d669cfd22b339f05ba87c965f6a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7540",
    "kind": "arxiv",
    "version": 2
  }
}