Pith Number

pith:IAVZJE5C

pith:2013:IAVZJE5C2TU4QQW3STUPLXVLLD

not attested not anchored not stored refs pending

Rips-Segev torsion-free groups without the unique product property

Markus Steenbock

arxiv:1307.0981 v2 · 2013-07-03 · 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{IAVZJE5C2TU4QQW3STUPLXVLLD}

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	2026-05-18T01:56:00.111340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

402b9493a2d4e9c842db94e8f5deab58cc858001bc1a4236260a577a4241f8c3

Aliases

arxiv: 1307.0981 · arxiv_version: 1307.0981v2 · doi: 10.48550/arxiv.1307.0981 · pith_short_12: IAVZJE5C2TU4 · pith_short_16: IAVZJE5C2TU4QQW3 · pith_short_8: IAVZJE5C

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/IAVZJE5C2TU4QQW3STUPLXVLLD \
  | 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: 402b9493a2d4e9c842db94e8f5deab58cc858001bc1a4236260a577a4241f8c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b891f8ba7af1bedea60febc3db08f5de7fae809359fff07966f7fcc80188d2df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-03T12:10:55Z",
    "title_canon_sha256": "292801377deac399407c390ae5ae0ca2aee37a660564908bc848cf0e59d1e367"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0981",
    "kind": "arxiv",
    "version": 2
  }
}