Pith Number

pith:DRI2G4FY

pith:2015:DRI2G4FYYOS7TKQRUAQR4YNV27

not attested not anchored not stored refs pending

Between primitive and $2$-transitive: Synchronization and its friends

Benjamin Steinberg, Jo\~ao Ara\'ujo, Peter J. Cameron

arxiv:1511.03184 v1 · 2015-11-10 · math.GR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRI2G4FYYOS7TKQRUAQR4YNV27}

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	2026-05-17T23:44:43.711463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c51a370b8c3a5f9aa11a0211e61b5d7f6b252978997e0d0b4281242afa43d5d

Aliases

arxiv: 1511.03184 · arxiv_version: 1511.03184v1 · doi: 10.48550/arxiv.1511.03184 · pith_short_12: DRI2G4FYYOS7 · pith_short_16: DRI2G4FYYOS7TKQR · pith_short_8: DRI2G4FY

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/DRI2G4FYYOS7TKQRUAQR4YNV27 \
  | 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: 1c51a370b8c3a5f9aa11a0211e61b5d7f6b252978997e0d0b4281242afa43d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d126ffa3f5274b5fbaa8dc78e1afec63de344e739cdae54502c75406596a5757",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-10T17:04:56Z",
    "title_canon_sha256": "1e7233b918cd37f6a9d67176f11fb01d2fe783f241e5b487441d8767e30ec0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03184",
    "kind": "arxiv",
    "version": 1
  }
}