Pith Number

pith:QA477DFF

pith:2015:QA477DFFB3DQH3W2UKNYEZGNP5

not attested not anchored not stored refs pending

Permutation patterns: basic definitions and notation

David Bevan

arxiv:1506.06673 v1 · 2015-06-22 · 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{QA477DFFB3DQH3W2UKNYEZGNP5}

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.

Cited by

1 paper in Pith

Pin classes II: Small pin classes

Receipt and verification

First computed	2026-05-18T01:41:44.571381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8039ff8ca50ec703eedaa29b8264cd7f5dc57a8901232c81b0475d4a98c20a82

Aliases

arxiv: 1506.06673 · arxiv_version: 1506.06673v1 · doi: 10.48550/arxiv.1506.06673 · pith_short_12: QA477DFFB3DQ · pith_short_16: QA477DFFB3DQH3W2 · pith_short_8: QA477DFF

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/QA477DFFB3DQH3W2UKNYEZGNP5 \
  | 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: 8039ff8ca50ec703eedaa29b8264cd7f5dc57a8901232c81b0475d4a98c20a82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29cf1277c1cb56baf6336936e7cf894d01975fb0806cf3f68bed3f1fb9beeeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-22T16:37:41Z",
    "title_canon_sha256": "25bc550067d436bb14e7445e4a172cd1da2a888a50eb20c9ae40660b57c6e05d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06673",
    "kind": "arxiv",
    "version": 1
  }
}