Pith Number

pith:ORTB6K3Q

pith:2025:ORTB6K3QGBIMFO5J7IRLTV2TAJ

not attested not anchored not stored refs pending

Permutons from Demazure Products

Colin Defant

arxiv:2505.15630 v1 · 2025-05-21 · math.PR · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORTB6K3QGBIMFO5J7IRLTV2TAJ}

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	2026-07-05T11:06:48.700244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74661f2b703050c2bba9fa22b9d753025aedb79682d1c4fcd557508f3ea69666

Aliases

arxiv: 2505.15630 · arxiv_version: 2505.15630v1 · doi: 10.48550/arxiv.2505.15630 · pith_short_12: ORTB6K3QGBIM · pith_short_16: ORTB6K3QGBIMFO5J · pith_short_8: ORTB6K3Q

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/ORTB6K3QGBIMFO5J7IRLTV2TAJ \
  | 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: 74661f2b703050c2bba9fa22b9d753025aedb79682d1c4fcd557508f3ea69666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b790ebf4f52c49be864d0865ae16f4b0b023c5aeec848648c534cdbd529e131b",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-05-21T15:16:29Z",
    "title_canon_sha256": "2c98879c48d8c69beb03ffcccc5adc01d5ba5d10f62622ed8a65af5ffa00f245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15630",
    "kind": "arxiv",
    "version": 1
  }
}