Pith Number

pith:FRVREJWJ

pith:2004:FRVREJWJ4VK266P4GAQLPWONEM

not attested not anchored not stored refs pending

Covariance of noncommutative Grassmann star product

M. Daoud

arxiv:math-ph/0409053 v1 · 2004-09-21 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRVREJWJ4VK266P4GAQLPWONEM}

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	2026-05-18T01:38:33.369042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6b1226c9e555af79fc3020b7d9cd2337d9ca63d1bbbdb49ee472d9aa2c898c

Aliases

arxiv: math-ph/0409053 · arxiv_version: math-ph/0409053v1 · doi: 10.48550/arxiv.math-ph/0409053 · pith_short_12: FRVREJWJ4VK2 · pith_short_16: FRVREJWJ4VK266P4 · pith_short_8: FRVREJWJ

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/FRVREJWJ4VK266P4GAQLPWONEM \
  | 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: 2c6b1226c9e555af79fc3020b7d9cd2337d9ca63d1bbbdb49ee472d9aa2c898c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ced8781cbdda63e8239516d552906afebc3e2cf7e94a15f740497e327433af",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-09-21T08:34:31Z",
    "title_canon_sha256": "f7b2e9d803430b538a8c9068b535d5c738fe68a4fa27cbddb74b634c8b882ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0409053",
    "kind": "arxiv",
    "version": 1
  }
}