Pith Number

pith:PYBNWD76

pith:2006:PYBNWD76FCCYQQU7YSYF3HXNFG

not attested not anchored not stored refs pending

Interval pattern avoidance for arbitrary root systems

Alexander Woo

arxiv:math/0611328 v1 · 2006-11-11 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYBNWD76FCCYQQU7YSYF3HXNFG}

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	2026-05-18T04:03:32.902189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e02db0ffe288588429fc4b05d9eed29b84f1da9a93c1a7bf86a63f7ffe511dd

Aliases

arxiv: math/0611328 · arxiv_version: math/0611328v1 · doi: 10.48550/arxiv.math/0611328 · pith_short_12: PYBNWD76FCCY · pith_short_16: PYBNWD76FCCYQQU7 · pith_short_8: PYBNWD76

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/PYBNWD76FCCYQQU7YSYF3HXNFG \
  | 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: 7e02db0ffe288588429fc4b05d9eed29b84f1da9a93c1a7bf86a63f7ffe511dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bd13c34c1b8c2613c5c626f171f71774082fc9a38186a1cf60849a5c98368b7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-11-11T09:20:45Z",
    "title_canon_sha256": "fcd901441cc320f13327faf469df8bb52513e43587bb9ed631cd1af6181518ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611328",
    "kind": "arxiv",
    "version": 1
  }
}