Pith Number

pith:Z6DRYZQM

pith:2012:Z6DRYZQMXLKWECFZJ2HB2VBBW3

not attested not anchored not stored refs pending

Overgroups of the Automorphism Group of the Rado Graph

Claude Laflamme, Maurice Pouzet, Peter Cameron, Robert Woodrow, Sam Tarzi

arxiv:1205.3717 v1 · 2012-05-16 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6DRYZQMXLKWECFZJ2HB2VBBW3}

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	2026-05-18T03:55:34.325335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf871c660cbad56208b94e8e1d5421b6c6bde69bfc1c5b2ce0e9e676525a64cc

Aliases

arxiv: 1205.3717 · arxiv_version: 1205.3717v1 · doi: 10.48550/arxiv.1205.3717 · pith_short_12: Z6DRYZQMXLKW · pith_short_16: Z6DRYZQMXLKWECFZ · pith_short_8: Z6DRYZQM

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/Z6DRYZQMXLKWECFZJ2HB2VBBW3 \
  | 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: cf871c660cbad56208b94e8e1d5421b6c6bde69bfc1c5b2ce0e9e676525a64cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b788d472155224be912f445290656d5030fdee0151037a71f692dac0d2795d58",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-16T15:58:57Z",
    "title_canon_sha256": "c9374c29e2d4039f774579d402e5cfc93be3487e5e98729e624418131a5c7aa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3717",
    "kind": "arxiv",
    "version": 1
  }
}