Pith Number

pith:DDCEZLPK

pith:2025:DDCEZLPK7IOQTYPKRJNMYXYYFY

not attested not anchored not stored refs pending

The dual Burnside process

Ivan Z. Feng

arxiv:2510.25202 v3 · 2025-10-29 · math.PR · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DDCEZLPK7IOQTYPKRJNMYXYYFY}

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.

Cited by

1 paper in Pith

Burnside process on parking functions and Dyck paths

Receipt and verification

First computed	2026-05-22T01:03:15.862359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c44cadeafa1d09e1ea8a5acc5f182e2ed452579533401bd77558777a3b7273

Aliases

arxiv: 2510.25202 · arxiv_version: 2510.25202v3 · doi: 10.48550/arxiv.2510.25202 · pith_short_12: DDCEZLPK7IOQ · pith_short_16: DDCEZLPK7IOQTYPK · pith_short_8: DDCEZLPK

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/DDCEZLPK7IOQTYPKRJNMYXYYFY \
  | 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: 18c44cadeafa1d09e1ea8a5acc5f182e2ed452579533401bd77558777a3b7273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a47b0b9b1777c0f72782e28b85aaffd1137e6f28689ece26e82f3efbd782918",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-10-29T06:14:29Z",
    "title_canon_sha256": "6585004058e9d7db047c3b1c4332888d02d90c5c2df419f33cc704e6e3741a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.25202",
    "kind": "arxiv",
    "version": 3
  }
}