Pith Number

pith:5FPJYSBD

pith:2011:5FPJYSBDC4V3BM4E2Z25RB4VXO

not attested not anchored not stored refs pending

Rigid abelian groups and the probabilistic method

G\'abor Braun, Sebastian Pokutta

arxiv:1107.2325 v1 · 2011-07-12 · 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{5FPJYSBDC4V3BM4E2Z25RB4VXO}

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	2026-05-18T03:45:53.342201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95e9c4823172bb0b384d675d88795bbb81fd51b2e0466b7564c2bd59d06db3f

Aliases

arxiv: 1107.2325 · arxiv_version: 1107.2325v1 · doi: 10.48550/arxiv.1107.2325 · pith_short_12: 5FPJYSBDC4V3 · pith_short_16: 5FPJYSBDC4V3BM4E · pith_short_8: 5FPJYSBD

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/5FPJYSBDC4V3BM4E2Z25RB4VXO \
  | 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: e95e9c4823172bb0b384d675d88795bbb81fd51b2e0466b7564c2bd59d06db3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d126704eca0990226dcc3b103519f9d72eb112a57b7fe29f2b1bda6212a255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-12T15:31:52Z",
    "title_canon_sha256": "41fc6d05ec9615460db160412583c6a6160f26df577dd0709fe2dc7056c7c9ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2325",
    "kind": "arxiv",
    "version": 1
  }
}