Pith Number

pith:UX6QWJIL

pith:2026:UX6QWJILBTMAH2YYTT7PLX2WLJ

not attested not anchored not stored refs pending

Fusion rules from the Norton inequality

Alonso Castillo-Ramirez

arxiv:2607.03237 v1 · 2026-07-03 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UX6QWJILBTMAH2YYTT7PLX2WLJ}

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	2026-07-07T01:16:47.540993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5fd0b250b0cd803eb189cfef5df565a41b3296c424ca0c5402f482d7e3c5d7c

Aliases

arxiv: 2607.03237 · arxiv_version: 2607.03237v1 · doi: 10.48550/arxiv.2607.03237 · pith_short_12: UX6QWJILBTMA · pith_short_16: UX6QWJILBTMAH2YY · pith_short_8: UX6QWJIL

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/UX6QWJILBTMAH2YYTT7PLX2WLJ \
  | 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: a5fd0b250b0cd803eb189cfef5df565a41b3296c424ca0c5402f482d7e3c5d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f0a859511c5ba4388b41e016ea363c83f2f2a5dec6307575259790d285c440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-07-03T11:54:21Z",
    "title_canon_sha256": "bf4e992c10fd340511ad520ded0edeba6e480b04e7ef0e53c4e327a780fc738a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03237",
    "kind": "arxiv",
    "version": 1
  }
}