Pith Number

pith:L4A6GFAQ

pith:2004:L4A6GFAQV3LQKKYIJAOINVT55F

not attested not anchored not stored refs pending

Covariance of Time-Ordered Products Implies Local Commutativity of Fields

O.W. Greenberg

arxiv:hep-th/0405211 v2 · 2004-05-24 · 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{L4A6GFAQV3LQKKYIJAOINVT55F}

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	2026-07-04T16:48:48.870991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f01e31410aed7052b08481c86d67de969b723bb0afcd72ba211ae2069421abd

Aliases

arxiv: hep-th/0405211 · arxiv_version: hep-th/0405211v2 · doi: 10.48550/arxiv.hep-th/0405211 · pith_short_12: L4A6GFAQV3LQ · pith_short_16: L4A6GFAQV3LQKKYI · pith_short_8: L4A6GFAQ

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/L4A6GFAQV3LQKKYIJAOINVT55F \
  | 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: 5f01e31410aed7052b08481c86d67de969b723bb0afcd72ba211ae2069421abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db67bd0732cc51e9225bdaba0f8c72cf08216f2404d95035da1da8dc1256fda",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-05-24T16:07:11Z",
    "title_canon_sha256": "87a7016a72bfd65bc2f82b3f38d3bdecdbf0609781dc18db073cefa1c6c1d6f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0405211",
    "kind": "arxiv",
    "version": 2
  }
}