Pith Number

pith:AR7IFMOO

pith:2025:AR7IFMOO3U5ZMENP3XHWAGZ32M

not attested not anchored not stored refs pending

Exercises for A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode

Dean Rubine

arxiv:2507.13045 v1 · 2025-07-17 · 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{AR7IFMOO3U5ZMENP3XHWAGZ32M}

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

Ordered trees and the Geode

Receipt and verification

First computed	2026-07-05T11:38:53.768418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

047e82b1cedd3b9611afddcf601b3bd3098a4ef6da5375df3c7e0e47eb18fc5b

Aliases

arxiv: 2507.13045 · arxiv_version: 2507.13045v1 · doi: 10.48550/arxiv.2507.13045 · pith_short_12: AR7IFMOO3U5Z · pith_short_16: AR7IFMOO3U5ZMENP · pith_short_8: AR7IFMOO

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/AR7IFMOO3U5ZMENP3XHWAGZ32M \
  | 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: 047e82b1cedd3b9611afddcf601b3bd3098a4ef6da5375df3c7e0e47eb18fc5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6f54631b1e2044232edbcdfb8911ce69492e75e3f24cbc7afbe279955f6fb1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-17T12:16:46Z",
    "title_canon_sha256": "b503b62c8a44d6acb185f71ba156ade70676681b4e9e8913b6ae162530a32bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13045",
    "kind": "arxiv",
    "version": 1
  }
}