Pith Number

pith:ZJU4TCY4

pith:2025:ZJU4TCY4VGEFQY6L6PKM75J7RH

not attested not anchored not stored refs pending

On a pair of three-colored (mod 10) partition identities

Matthew C. Russell

arxiv:2509.07169 v1 · 2025-09-08 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJU4TCY4VGEFQY6L6PKM75J7RH}

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	2026-07-05T12:07:16.824849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca69c98b1ca9885863cbf3d4cff53f89e42b07f0fb74182163f20e5b98d0671f

Aliases

arxiv: 2509.07169 · arxiv_version: 2509.07169v1 · doi: 10.48550/arxiv.2509.07169 · pith_short_12: ZJU4TCY4VGEF · pith_short_16: ZJU4TCY4VGEFQY6L · pith_short_8: ZJU4TCY4

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/ZJU4TCY4VGEFQY6L6PKM75J7RH \
  | 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: ca69c98b1ca9885863cbf3d4cff53f89e42b07f0fb74182163f20e5b98d0671f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b894ac0143d598d44371dba043dab90e9ebdb7dfa9a3ae1d1c05ba727491721",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-08T19:34:45Z",
    "title_canon_sha256": "3a354a03b9e782f222bd1a465a25b09940d7260674343f787cfec02be5bba942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07169",
    "kind": "arxiv",
    "version": 1
  }
}