Pith Number

pith:6PZJWSX3

pith:2012:6PZJWSX3VLQ7RG5EIWUF7QXBK7

not attested not anchored not stored refs pending

Shape-Wilf-equivalences for vincular patterns

Andrew M. Baxter

arxiv:1201.4767 v3 · 2012-01-23 · 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{6PZJWSX3VLQ7RG5EIWUF7QXBK7}

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	2026-05-18T03:34:38.357014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f29b4afbaae1f89ba445a85fc2e157f0ba8e6d907559c5dd00c8a1a74390a3

Aliases

arxiv: 1201.4767 · arxiv_version: 1201.4767v3 · doi: 10.48550/arxiv.1201.4767 · pith_short_12: 6PZJWSX3VLQ7 · pith_short_16: 6PZJWSX3VLQ7RG5E · pith_short_8: 6PZJWSX3

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/6PZJWSX3VLQ7RG5EIWUF7QXBK7 \
  | 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: f3f29b4afbaae1f89ba445a85fc2e157f0ba8e6d907559c5dd00c8a1a74390a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa3ff8e9a22b9332670be2af5270579acd3624c8c7b9438715d5b32bf0a50cb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-23T16:58:50Z",
    "title_canon_sha256": "c7ca0931b45265506c4f282d86a1d0df1453d74f39a5d5066cb8d2621c80f608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4767",
    "kind": "arxiv",
    "version": 3
  }
}