Pith Number

pith:6KHXIAJC

pith:2010:6KHXIAJCOHIHJMWTDRM7NAEKBR

not attested not anchored not stored refs pending

A compositional shuffle conjecture specifying touch points of the Dyck path

James Haglund, Jennifer Morse, Mike Zabrocki

arxiv:1008.0828 v2 · 2010-08-04 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KHXIAJCOHIHJMWTDRM7NAEKBR}

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	2026-05-18T04:19:23.273215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f28f74012271d074b2d31c59f6808a0c73808b13edbd6a441e8f9a7ee27cbb10

Aliases

arxiv: 1008.0828 · arxiv_version: 1008.0828v2 · doi: 10.48550/arxiv.1008.0828 · pith_short_12: 6KHXIAJCOHIH · pith_short_16: 6KHXIAJCOHIHJMWT · pith_short_8: 6KHXIAJC

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/6KHXIAJCOHIHJMWTDRM7NAEKBR \
  | 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: f28f74012271d074b2d31c59f6808a0c73808b13edbd6a441e8f9a7ee27cbb10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22e885de944dcfffcf3922ff9239258fd80185aabdd83b06b8a3e9276060005f",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-04T17:25:25Z",
    "title_canon_sha256": "2cac772ae2de7b07cf5781db08d2dd8d394906de5bfbc2a2b4eb62ef9c16dc54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0828",
    "kind": "arxiv",
    "version": 2
  }
}