Pith Number

pith:OYR44FGI

pith:2021:OYR44FGIBC2DUE3T7HBYRLCJSN

not attested not anchored not stored refs pending

Modified St$\ddot u$ckelberg Formalism: Free Massive Abelian 2-Form Theory in 4D

A. K. Rao, R. P. Malik

arxiv:2112.02586 v4 · 2021-12-05 · 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{OYR44FGIBC2DUE3T7HBYRLCJSN}

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	2026-07-05T06:35:22.919459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7623ce14c808b43a1373f9c388ac4993742097f1008e61dba50966ae8f3fed88

Aliases

arxiv: 2112.02586 · arxiv_version: 2112.02586v4 · doi: 10.48550/arxiv.2112.02586 · pith_short_12: OYR44FGIBC2D · pith_short_16: OYR44FGIBC2DUE3T · pith_short_8: OYR44FGI

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/OYR44FGIBC2DUE3T7HBYRLCJSN \
  | 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: 7623ce14c808b43a1373f9c388ac4993742097f1008e61dba50966ae8f3fed88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07b6dc4c3e42f0b50f342648ba7c6878400cd7e97e3dc041329c2dfb2f755786",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-05T14:40:50Z",
    "title_canon_sha256": "8d2eb3dda9401e27a1af27be6ec8b67cd72c69c841f3fc5d580250981253c64a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02586",
    "kind": "arxiv",
    "version": 4
  }
}