Pith Number

pith:HFB33FWQ

pith:2012:HFB33FWQQRMZ5L6IMJYYO2V254

not attested not anchored not stored refs pending

Sorting and preimages of pattern classes

Anders Claesson, Henning \'Ulfarsson

arxiv:1203.2437 v1 · 2012-03-12 · math.CO · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFB33FWQQRMZ5L6IMJYYO2V254}

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	2026-05-18T04:00:25.460375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3943bd96d084599eafc86271876abaef1b70972492dcdf4e37769cae822d14cf

Aliases

arxiv: 1203.2437 · arxiv_version: 1203.2437v1 · doi: 10.48550/arxiv.1203.2437 · pith_short_12: HFB33FWQQRMZ · pith_short_16: HFB33FWQQRMZ5L6I · pith_short_8: HFB33FWQ

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/HFB33FWQQRMZ5L6IMJYYO2V254 \
  | 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: 3943bd96d084599eafc86271876abaef1b70972492dcdf4e37769cae822d14cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3be39735515d5769a25db7a684b52071ac0b0cafd64bb484446e26ef65e25977",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-12T09:43:31Z",
    "title_canon_sha256": "3114eb3902f849241eac9673be24fc02e7677e31046d63317c65d97fa45c7af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2437",
    "kind": "arxiv",
    "version": 1
  }
}