Pith. sign in
Pith Number

pith:KRKEHUFZ

pith:2012:KRKEHUFZP72C2CSZE45UC62JHX
not attested not anchored not stored refs pending

Abelian p-Form (p = 1, 2, 3) Gauge Theories as the Field Theoretic Models for the Hodge Theory

A. Shukla, R. Kumar, R. P. Malik, S. Krishna

arxiv:1203.5519 v5 · 2012-03-25 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KRKEHUFZP72C2CSZE45UC62JHX}

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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 2026-05-18T02:41:59.849267Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

545443d0b97ff42d0a59273b417b493dea412ecb5bd45fd530f590ca8da6bccd

Aliases

arxiv: 1203.5519 · arxiv_version: 1203.5519v5 · doi: 10.48550/arxiv.1203.5519 · pith_short_12: KRKEHUFZP72C · pith_short_16: KRKEHUFZP72C2CSZ · pith_short_8: KRKEHUFZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KRKEHUFZP72C2CSZE45UC62JHX \
  | 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: 545443d0b97ff42d0a59273b417b493dea412ecb5bd45fd530f590ca8da6bccd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "558ba3bf1121b21b53a2f80effbbb02195d4c7325bdac5237e1ed9d2862f5f3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-03-25T17:04:00Z",
    "title_canon_sha256": "e7f6400d3ff747f4cb06da668c89e51f21ba6efefd0650317b10c3b05025b062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5519",
    "kind": "arxiv",
    "version": 5
  }
}