Pith Number

pith:EGNUKADO

pith:2026:EGNUKADOAEXX4TZFTTMF5WHIVY

not attested not anchored not stored refs pending

Point-dimension theory (part II): The point-cross dimension

Nadir Maaroufi

arxiv:2607.08612 v1 · 2026-07-09 · math.MG · math.CA · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGNUKADOAEXX4TZFTTMF5WHIVY}

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	2026-07-10T01:19:55.401403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

219b45006e012f7e4f259cd85ed8e8ae22975de47d28f1531a2334168339e37f

Aliases

arxiv: 2607.08612 · arxiv_version: 2607.08612v1 · doi: 10.48550/arxiv.2607.08612 · pith_short_12: EGNUKADOAEXX · pith_short_16: EGNUKADOAEXX4TZF · pith_short_8: EGNUKADO

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/EGNUKADOAEXX4TZFTTMF5WHIVY \
  | 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: 219b45006e012f7e4f259cd85ed8e8ae22975de47d28f1531a2334168339e37f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f72da7592037dca7a593e79ead6df6a4b8e68a90d168b15304c2edf3a0131622",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA",
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-07-09T15:42:27Z",
    "title_canon_sha256": "dc7318c0fd9e7d4a3c8de3bfa9a693de8bcafa4e32cd90f3aeb679502c91733a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08612",
    "kind": "arxiv",
    "version": 1
  }
}