Pith Number

pith:WSCBRG6Y

pith:2013:WSCBRG6YBQ26BWJ7DCSP64FD6N

not attested not anchored not stored refs pending

Decision problems for word-hyperbolic semigroups

Alan J. Cain, Markus Pfeiffer

arxiv:1303.1763 v2 · 2013-03-07 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSCBRG6YBQ26BWJ7DCSP64FD6N}

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	2026-05-18T02:03:38.377595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b484189bd80c35e0d93f18a4ff70a3f36b1db02d452f3f5a61ec72ded9890c55

Aliases

arxiv: 1303.1763 · arxiv_version: 1303.1763v2 · doi: 10.48550/arxiv.1303.1763 · pith_short_12: WSCBRG6YBQ26 · pith_short_16: WSCBRG6YBQ26BWJ7 · pith_short_8: WSCBRG6Y

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/WSCBRG6YBQ26BWJ7DCSP64FD6N \
  | 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: b484189bd80c35e0d93f18a4ff70a3f36b1db02d452f3f5a61ec72ded9890c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f6728489488ccc1e99cf20c6702fedcbf986ea71370c39ef641477070eea884",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-07T17:44:39Z",
    "title_canon_sha256": "e1b354ca37269de3d26f7eceb1f75ace449eee491f68d68e84ad7c5bedd370d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1763",
    "kind": "arxiv",
    "version": 2
  }
}