Pith Number

pith:PHMESENE

pith:2013:PHMESENE6BIMOVL46FWUR3M33W

not attested not anchored not stored refs pending

On groups with Property (T_lp)

Bachir Bekka, Baptiste Olivier

arxiv:1303.5183 v1 · 2013-03-21 · 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{PHMESENE6BIMOVL46FWUR3M33W}

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	2026-05-18T02:28:05.597187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d84911a4f050c7557cf16d48ed9bdd9a25c5580222a7967cad4edaff7f8e1f

Aliases

arxiv: 1303.5183 · arxiv_version: 1303.5183v1 · doi: 10.48550/arxiv.1303.5183 · pith_short_12: PHMESENE6BIM · pith_short_16: PHMESENE6BIMOVL4 · pith_short_8: PHMESENE

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/PHMESENE6BIMOVL46FWUR3M33W \
  | 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: 79d84911a4f050c7557cf16d48ed9bdd9a25c5580222a7967cad4edaff7f8e1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a3d210c110ebde326b174e2320a33e4823bceff854d3cb45df2847ff04ceef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-21T07:38:47Z",
    "title_canon_sha256": "59227bd84e243f7ae262d7837f36ccf7543467158c2575a36b1530b4cb6ccf74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5183",
    "kind": "arxiv",
    "version": 1
  }
}