Pith Number

pith:WDCXMIQI

pith:2012:WDCXMIQI4IRIZUQFJN5QAWRNMC

not attested not anchored not stored refs pending

A new operation on partially ordered sets

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

arxiv:1208.3504 v3 · 2012-08-16 · 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{WDCXMIQI4IRIZUQFJN5QAWRNMC}

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	2026-05-18T03:42:33.667242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c5762208e2228cd2054b7b005a2d6090c58d5326e6b365d3cfd3cdc7b7a11e

Aliases

arxiv: 1208.3504 · arxiv_version: 1208.3504v3 · doi: 10.48550/arxiv.1208.3504 · pith_short_12: WDCXMIQI4IRI · pith_short_16: WDCXMIQI4IRIZUQF · pith_short_8: WDCXMIQI

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/WDCXMIQI4IRIZUQFJN5QAWRNMC \
  | 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: b0c5762208e2228cd2054b7b005a2d6090c58d5326e6b365d3cfd3cdc7b7a11e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c07a0b18f4d5442bce8e481ff6defa4cafbadca0bb5dae689cc4cf842f91055e",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-16T22:07:25Z",
    "title_canon_sha256": "d1637006446cc82a50872623f80b065867c52778822a48df9d66c5fa33949335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3504",
    "kind": "arxiv",
    "version": 3
  }
}