Pith Number

pith:PICWSJQ5

pith:2014:PICWSJQ5BRWKQSNSEN6EIO42PU

not attested not anchored not stored refs pending

Commensurations and Metric Properties of Houghton's Groups

Armando Martino, Claas E. R\"over, Jos\'e Burillo, Sean Cleary

arxiv:1403.0026 v2 · 2014-02-28 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PICWSJQ5BRWKQSNSEN6EIO42PU}

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	2026-05-18T00:56:26.410093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0569261d0c6ca849b2237c443b9a7d21be8525290f1e0c150191a660908438

Aliases

arxiv: 1403.0026 · arxiv_version: 1403.0026v2 · doi: 10.48550/arxiv.1403.0026 · pith_short_12: PICWSJQ5BRWK · pith_short_16: PICWSJQ5BRWKQSNS · pith_short_8: PICWSJQ5

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/PICWSJQ5BRWKQSNSEN6EIO42PU \
  | 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: 7a0569261d0c6ca849b2237c443b9a7d21be8525290f1e0c150191a660908438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589d46ce325ca9b0749b94363eff6ba1ca3881f1065a5ea5a88176c82b3d6e1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-28T23:03:45Z",
    "title_canon_sha256": "99e3ee999736f99298c338e1bea6cf538aa7a27456c068f28900e34c9c2fbadf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0026",
    "kind": "arxiv",
    "version": 2
  }
}