Pith Number

pith:UNRF4D7X

pith:1999:UNRF4D7X3RKNFL6CFUEMLLKLQK

not attested not anchored not stored refs pending

Perturbative analysis on infrared aspects of noncommutative QED on R^4

M.Hayakawa

arxiv:hep-th/9912094 v3 · 1999-12-12 · 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{UNRF4D7X3RKNFL6CFUEMLLKLQK}

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.

Cited by

1 paper in Pith

Entanglement through high-energy scattering in noncommutative quantum electrodynamics

Receipt and verification

First computed	2026-07-04T16:15:04.932856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3625e0ff7dc54d2afc22d08c5ad4b828ea4a424490d2fc564dadbeddb6e808d

Aliases

arxiv: hep-th/9912094 · arxiv_version: hep-th/9912094v3 · doi: 10.48550/arxiv.hep-th/9912094 · pith_short_12: UNRF4D7X3RKN · pith_short_16: UNRF4D7X3RKNFL6C · pith_short_8: UNRF4D7X

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/UNRF4D7X3RKNFL6CFUEMLLKLQK \
  | 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: a3625e0ff7dc54d2afc22d08c5ad4b828ea4a424490d2fc564dadbeddb6e808d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3d8bceee5c58c3f9d41657776e1d42aef9c7abcacdf7be9907144d1d7cfb545",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-12-12T14:59:03Z",
    "title_canon_sha256": "e878ee710c4a4b594f04d7e0c7047022b8d1b8a5487da51e4889f8035eff27c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9912094",
    "kind": "arxiv",
    "version": 3
  }
}