Pith Number

pith:UDNBVWX7

pith:2001:UDNBVWX75LTIGM42UIR7UPFQMQ

not attested not anchored not stored refs pending

General structure of the photon self-energy in non-commutative QED

Ashok Das, F. T. Brandt, J. Frenkel

arxiv:hep-th/0112127 v2 · 2001-12-14 · 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{UDNBVWX75LTIGM42UIR7UPFQMQ}

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

On the photon mass generation in Rarita-Schwinger QED

Receipt and verification

First computed	2026-07-04T15:26:47.329180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0da1adaffeae683339aa223fa3cb06437cdbdbd3ea8dbe698dbbc476b0d124b

Aliases

arxiv: hep-th/0112127 · arxiv_version: hep-th/0112127v2 · doi: 10.48550/arxiv.hep-th/0112127 · pith_short_12: UDNBVWX75LTI · pith_short_16: UDNBVWX75LTIGM42 · pith_short_8: UDNBVWX7

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/UDNBVWX75LTIGM42UIR7UPFQMQ \
  | 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: a0da1adaffeae683339aa223fa3cb06437cdbdbd3ea8dbe698dbbc476b0d124b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e842d30652804cf7c52652ff4492258bf803339b64659cca50d0bc12d88ab1bb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-12-14T18:11:10Z",
    "title_canon_sha256": "39cf8b6b299774348dcd33cbfc93ee7597c1ddd7fb3e314abecf86436e281c7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0112127",
    "kind": "arxiv",
    "version": 2
  }
}