Pith Number

pith:6RGQSMFA

pith:2013:6RGQSMFA2TNWC5IE4HDRG5ZQQF

not attested not anchored not stored refs pending

The 42 reducts of the random ordered graph

Andr\'as Pongr\'acz, Manuel Bodirsky, Michael Pinsker

arxiv:1309.2165 v3 · 2013-09-09 · math.LO · 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{6RGQSMFA2TNWC5IE4HDRG5ZQQF}

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	2026-05-18T00:44:29.540877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f44d0930a0d4db617504e1c71377308146f88fc2695c39fd9b6b2020d706a2e6

Aliases

arxiv: 1309.2165 · arxiv_version: 1309.2165v3 · doi: 10.48550/arxiv.1309.2165 · pith_short_12: 6RGQSMFA2TNW · pith_short_16: 6RGQSMFA2TNWC5IE · pith_short_8: 6RGQSMFA

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/6RGQSMFA2TNWC5IE4HDRG5ZQQF \
  | 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: f44d0930a0d4db617504e1c71377308146f88fc2695c39fd9b6b2020d706a2e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9ec173045b2712b091a7f8137a9672eb0f4833b7c9d992c1ce0a7e60c79b508",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-09-09T14:12:46Z",
    "title_canon_sha256": "88e56cdf111d1d6d000303100ad25d19b2fa9300e8581211fb97d4e8fce78860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2165",
    "kind": "arxiv",
    "version": 3
  }
}