Pith Number

pith:ODIRWPDO

pith:2016:ODIRWPDOK4UOOU5N5CTHF2UHIN

not attested not anchored not stored refs pending

Infinite sharply multiply transitive groups

Katrin Tent

arxiv:1603.02112 v1 · 2016-03-07 · 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{ODIRWPDOK4UOOU5N5CTHF2UHIN}

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	2026-05-18T01:17:46.796553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d11b3c6e5728e753ade8a672ea87437c6397a80e2d45d508b1af4ebbfe7cdc

Aliases

arxiv: 1603.02112 · arxiv_version: 1603.02112v1 · doi: 10.48550/arxiv.1603.02112 · pith_short_12: ODIRWPDOK4UO · pith_short_16: ODIRWPDOK4UOOU5N · pith_short_8: ODIRWPDO

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/ODIRWPDOK4UOOU5N5CTHF2UHIN \
  | 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: 70d11b3c6e5728e753ade8a672ea87437c6397a80e2d45d508b1af4ebbfe7cdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0824168ccfecd21b57a793035b7a6a6e973bcb80edc49463ca6ea8bf65c7653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-07T15:36:21Z",
    "title_canon_sha256": "839449f4d19b44c7b6004a76fb2efe12a75eb2d6551084afaa28070f75653454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02112",
    "kind": "arxiv",
    "version": 1
  }
}