Pith Number

pith:5N5H4IJK

pith:2012:5N5H4IJKONFOI3ESICUXLG7GQ7

not attested not anchored not stored refs pending

Barred Preferential Arrangements

Connor Ahlbach, Jeremy Usatine, Nicholas Pippenger

arxiv:1206.6354 v1 · 2012-06-27 · 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{5N5H4IJKONFOI3ESICUXLG7GQ7}

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	2026-05-18T03:52:26.900804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7a7e212a734ae46c9240a9759be687e9c0ac7b3fbbd84ad804e2fd35d3451d

Aliases

arxiv: 1206.6354 · arxiv_version: 1206.6354v1 · doi: 10.48550/arxiv.1206.6354 · pith_short_12: 5N5H4IJKONFO · pith_short_16: 5N5H4IJKONFOI3ES · pith_short_8: 5N5H4IJK

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/5N5H4IJKONFOI3ESICUXLG7GQ7 \
  | 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: eb7a7e212a734ae46c9240a9759be687e9c0ac7b3fbbd84ad804e2fd35d3451d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7758dd356e2447670409ddb4db1e4e2aebd7466e6bf604771fc71edc8e123bcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-27T18:04:46Z",
    "title_canon_sha256": "2a52c6de3fd913a272c590bfc3c566b65aa4aba9945917d49d68334e29c69fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6354",
    "kind": "arxiv",
    "version": 1
  }
}