Pith Number

pith:BYJPWPBV

pith:2012:BYJPWPBVIHPTJAPP3PG6MNUYOD

not attested not anchored not stored refs pending

Logspace Computations in Coxeter Groups and Graph Groups

Jonathan Kausch, Markus Lohrey, Volker Diekert

arxiv:1201.3174 v1 · 2012-01-16 · 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{BYJPWPBVIHPTJAPP3PG6MNUYOD}

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	2026-05-18T04:04:32.003046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e12fb3c3541df3481efdbcde6369870c219adce30be3d03ffcc1ea387f2a363

Aliases

arxiv: 1201.3174 · arxiv_version: 1201.3174v1 · doi: 10.48550/arxiv.1201.3174 · pith_short_12: BYJPWPBVIHPT · pith_short_16: BYJPWPBVIHPTJAPP · pith_short_8: BYJPWPBV

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/BYJPWPBVIHPTJAPP3PG6MNUYOD \
  | 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: 0e12fb3c3541df3481efdbcde6369870c219adce30be3d03ffcc1ea387f2a363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30804e2bd4a16b9a65adbd3162d6cdb8f2fdacb0a59a4430678ca29d972eba2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-16T08:29:09Z",
    "title_canon_sha256": "316d5b07a25ccd1c650c063605efd767d97e0286afc61ae42afaf2514b2da99e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3174",
    "kind": "arxiv",
    "version": 1
  }
}