Pith Number

pith:MFAQ4I5R

pith:2015:MFAQ4I5RHY6ZZYI4ITWP7LFV3M

not attested not anchored not stored refs pending

Superspace Unitary Operator in QED with Dirac and Complex Scalar Fields: Superfield Approach

D. Shukla, R. P. Malik, T. Bhanja

arxiv:1508.06852 v3 · 2015-08-27 · 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{MFAQ4I5RHY6ZZYI4ITWP7LFV3M}

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	2026-05-18T01:29:31.341229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61410e23b13e3d9ce11c44ecffacb5db332e0a04edf4fa4f33e287c860a0b936

Aliases

arxiv: 1508.06852 · arxiv_version: 1508.06852v3 · doi: 10.48550/arxiv.1508.06852 · pith_short_12: MFAQ4I5RHY6Z · pith_short_16: MFAQ4I5RHY6ZZYI4 · pith_short_8: MFAQ4I5R

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/MFAQ4I5RHY6ZZYI4ITWP7LFV3M \
  | 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: 61410e23b13e3d9ce11c44ecffacb5db332e0a04edf4fa4f33e287c860a0b936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2315528d93e3854c93ace08b53d10d2d309a69925fa4cfe5db814184df2d9fd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-08-27T13:27:43Z",
    "title_canon_sha256": "0e5ec3849fdd05358e4dd5c920c32df80ce0100ebfa8832f13102033bdfaa1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06852",
    "kind": "arxiv",
    "version": 3
  }
}