Pith Number

pith:5AZJENBM

pith:2001:5AZJENBMOEXB2OALWLXW4KCC7A

not attested not anchored not stored refs pending

Breaking CPT by mixed non-commutativity

Irina Mocioiu, Maxim Pospelov, Radu Roiban

arxiv:hep-ph/0108136 v1 · 2001-08-16 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5AZJENBMOEXB2OALWLXW4KCC7A}

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	2026-07-04T16:27:27.568628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e83292342c712e1d380bb2ef6e2842f81a92e88f7bedcc042ca7d1cd2e2a1602

Aliases

arxiv: hep-ph/0108136 · arxiv_version: hep-ph/0108136v1 · doi: 10.48550/arxiv.hep-ph/0108136 · pith_short_12: 5AZJENBMOEXB · pith_short_16: 5AZJENBMOEXB2OAL · pith_short_8: 5AZJENBM

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/5AZJENBMOEXB2OALWLXW4KCC7A \
  | 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: e83292342c712e1d380bb2ef6e2842f81a92e88f7bedcc042ca7d1cd2e2a1602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bed837679bc7e530fa92a6c408d75dd496e1b7340824fc71466039cd669f547",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-08-16T19:57:28Z",
    "title_canon_sha256": "63059efa7b76ed2f226c45330526f3778056621be68435e96ff0fd359ee6aa1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0108136",
    "kind": "arxiv",
    "version": 1
  }
}