Pith Number

pith:AOIFLPEB

pith:2011:AOIFLPEB5H7ZEXWF2N6ZYEA72I

not attested not anchored not stored refs pending

Reducts of the random partial order

Andr\'as Pongr\'acz, Csaba Szab\'o, Gabriella Pluh\'ar, Michael Pinsker, P\'eter P\'al Pach

arxiv:1111.7109 v2 · 2011-11-30 · 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{AOIFLPEB5H7ZEXWF2N6ZYEA72I}

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	2026-05-18T03:56:44.980683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

039055bc81e9ff925ec5d37d9c101fd2057b39a4f9dc6cdb53362d7c6e6e04b1

Aliases

arxiv: 1111.7109 · arxiv_version: 1111.7109v2 · doi: 10.48550/arxiv.1111.7109 · pith_short_12: AOIFLPEB5H7Z · pith_short_16: AOIFLPEB5H7ZEXWF · pith_short_8: AOIFLPEB

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/AOIFLPEB5H7ZEXWF2N6ZYEA72I \
  | 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: 039055bc81e9ff925ec5d37d9c101fd2057b39a4f9dc6cdb53362d7c6e6e04b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b49b24282d7a7a9842f354d767b871b0f8e0a67a79101b082b3d850ebb22078b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-11-30T10:16:18Z",
    "title_canon_sha256": "86296f168d287955f06d9dad51cff0dab6547729c2882dae7ca518328e265bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7109",
    "kind": "arxiv",
    "version": 2
  }
}