Pith Number

pith:IXG5CS6A

pith:2010:IXG5CS6A6OK6JRP6VPRCW64MJW

not attested not anchored not stored refs pending

Using homological duality in consecutive pattern avoidance

Anton Khoroshkin, Boris Shapiro

arxiv:1009.5308 v1 · 2010-09-27 · math.CO · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXG5CS6A6OK6JRP6VPRCW64MJW}

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	2026-05-18T00:50:43.408390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45cdd14bc0f395e4c5feabe22b7b8c4d8124c8470eb91b963d0f7798cd5fd50d

Aliases

arxiv: 1009.5308 · arxiv_version: 1009.5308v1 · doi: 10.48550/arxiv.1009.5308 · pith_short_12: IXG5CS6A6OK6 · pith_short_16: IXG5CS6A6OK6JRP6 · pith_short_8: IXG5CS6A

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/IXG5CS6A6OK6JRP6VPRCW64MJW \
  | 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: 45cdd14bc0f395e4c5feabe22b7b8c4d8124c8470eb91b963d0f7798cd5fd50d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61072d6321a55db1a5044a0031d8b7a2529842833b16886dad31ec1523919a75",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-27T16:07:43Z",
    "title_canon_sha256": "bd515b96be7688386169fe22ccb4e2826d20d558567a2f12f88f8bb4793c61d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5308",
    "kind": "arxiv",
    "version": 1
  }
}