Pith Number

pith:WPWHOSFQ

pith:2026:WPWHOSFQ7EJCK5JWNV7YFXWLA3

not attested not anchored not stored refs pending

Noncommutative vector field calculi

Emanuele Latini, Rita Fioresi, Thomas Weber

arxiv:2607.07243 v1 · 2026-07-08 · math.QA · math-ph · math.MP · 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{WPWHOSFQ7EJCK5JWNV7YFXWLA3}

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	2026-07-09T01:20:18.666960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3ec7748b0f9122575366d7f82decb06c77b4d6cd7a2fbb2c98b3eac14cf5732

Aliases

arxiv: 2607.07243 · arxiv_version: 2607.07243v1 · doi: 10.48550/arxiv.2607.07243 · pith_short_12: WPWHOSFQ7EJC · pith_short_16: WPWHOSFQ7EJCK5JW · pith_short_8: WPWHOSFQ

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/WPWHOSFQ7EJCK5JWNV7YFXWLA3 \
  | 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: b3ec7748b0f9122575366d7f82decb06c77b4d6cd7a2fbb2c98b3eac14cf5732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "081baa7b74c968f90669b36d32948e6925362c508ab5c80435e883fbebdab566",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-07-08T10:22:31Z",
    "title_canon_sha256": "b46ee6694b82b6ea0b412f72dc577857950af60a8302820c19f0150ba1fa5e35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07243",
    "kind": "arxiv",
    "version": 1
  }
}