Pith Number

pith:COFPWLAW

pith:2001:COFPWLAWSJBPNLC5TEIE6Z4HID

not attested not anchored not stored refs pending

Covariant Coordinate Transformations on Noncommutative Space

R. Jackiw, S.-Y. Pi

arxiv:hep-th/0111122 v1 · 2001-11-13 · hep-th · 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{COFPWLAWSJBPNLC5TEIE6Z4HID}

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	2026-07-04T16:28:10.155823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

138afb2c169242f6ac5d99104f678740d61081de20a3a17c896e2552f2fd0f07

Aliases

arxiv: hep-th/0111122 · arxiv_version: hep-th/0111122v1 · doi: 10.48550/arxiv.hep-th/0111122 · pith_short_12: COFPWLAWSJBP · pith_short_16: COFPWLAWSJBPNLC5 · pith_short_8: COFPWLAW

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/COFPWLAWSJBPNLC5TEIE6Z4HID \
  | 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: 138afb2c169242f6ac5d99104f678740d61081de20a3a17c896e2552f2fd0f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "580aaf591de52fec99e15e39c26f1b3251a4a1c6e5235f1e701df929f428f8e0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-11-13T21:19:43Z",
    "title_canon_sha256": "51e36cd78e0a73fe7229502d7dbfc387076e05f5e2d7e5e251656a524cf096ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0111122",
    "kind": "arxiv",
    "version": 1
  }
}