Pith Number

pith:OB52EJQU

pith:2015:OB52EJQUNPYBUVUQHQ5B55PKSX

not attested not anchored not stored refs pending

A probabilistic Tits alternative and probabilistic identities

Aner Shalev, Michael Larsen

arxiv:1507.08841 v1 · 2015-07-31 · 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{OB52EJQUNPYBUVUQHQ5B55PKSX}

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	2026-05-18T01:05:46.114562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

707ba226146bf01a56903c3a1ef5ea95dad934c4954c4e1235b23378a863e5de

Aliases

arxiv: 1507.08841 · arxiv_version: 1507.08841v1 · doi: 10.48550/arxiv.1507.08841 · pith_short_12: OB52EJQUNPYB · pith_short_16: OB52EJQUNPYBUVUQ · pith_short_8: OB52EJQU

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/OB52EJQUNPYBUVUQHQ5B55PKSX \
  | 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: 707ba226146bf01a56903c3a1ef5ea95dad934c4954c4e1235b23378a863e5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69decd7a61c18767e3b8c278ce434d43d766005e42a4b751f28eae75cff115c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-07-31T11:51:09Z",
    "title_canon_sha256": "fef12fa7762bf8590060fa994f9bd130f7cf3d72d833bd139b0881fddaa0d81c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08841",
    "kind": "arxiv",
    "version": 1
  }
}