Pith Number

pith:7A2RWYAL

pith:2025:7A2RWYALQZW63YAYESXN3D2QKG

not attested not anchored not stored refs pending

An explicit power series result for the two type ASEP

David W. Ash

arxiv:2507.22296 v2 · 2025-07-30 · 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{7A2RWYALQZW63YAYESXN3D2QKG}

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	2026-07-05T11:48:52.022943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8351b600b866dede01824aedd8f5051abb0e20c50d9058f4a651a3fe5f7427b

Aliases

arxiv: 2507.22296 · arxiv_version: 2507.22296v2 · doi: 10.48550/arxiv.2507.22296 · pith_short_12: 7A2RWYALQZW6 · pith_short_16: 7A2RWYALQZW63YAY · pith_short_8: 7A2RWYAL

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/7A2RWYALQZW63YAYESXN3D2QKG \
  | 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: f8351b600b866dede01824aedd8f5051abb0e20c50d9058f4a651a3fe5f7427b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c95530781abed62d5b787086b8658d6d2e8511374c79e0150dc61ed6049fa1b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-30T00:10:18Z",
    "title_canon_sha256": "8515dcac57f670568891e675ef65d676d637d0fa101d09ff5eedfcafcc3347de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.22296",
    "kind": "arxiv",
    "version": 2
  }
}