Pith Number

pith:JINVEQBS

pith:2006:JINVEQBSHHDBZHUGPGX4EYC4NQ

not attested not anchored not stored refs pending

Permutations Containing Many Patterns

Imre Leader, M.H.Albert, Micah Coleman, Ryan Flynn

arxiv:math/0609771 v1 · 2006-09-27 · 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{JINVEQBSHHDBZHUGPGX4EYC4NQ}

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	2026-05-18T04:02:25.569059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a1b52403239c61c9e8679afc2605c6c3745cdb306095b571bda9f88fc70f729

Aliases

arxiv: math/0609771 · arxiv_version: math/0609771v1 · doi: 10.48550/arxiv.math/0609771 · pith_short_12: JINVEQBSHHDB · pith_short_16: JINVEQBSHHDBZHUG · pith_short_8: JINVEQBS

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/JINVEQBSHHDBZHUGPGX4EYC4NQ \
  | 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: 4a1b52403239c61c9e8679afc2605c6c3745cdb306095b571bda9f88fc70f729

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e038ec38f7afe0bfc7eb7e8ba62b00e4dc209fdf8df52ea91dc420c2ad090e3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-09-27T20:09:09Z",
    "title_canon_sha256": "9e0e8074f9200e252d078b1b5dd0c9fe4d3c5ae2fe125e989f009980c255c9d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609771",
    "kind": "arxiv",
    "version": 1
  }
}