pith. sign in
Pith Number

pith:T5PR5UFL

pith:2016:T5PR5UFL3HFJNGCZBXPVLWBJAT
not attested not anchored not stored refs pending

More Abelian Dualities in 2+1 Dimensions

Andreas Karch, Brandon Robinson, David Tong

arxiv:1609.04012 v2 · 2016-09-13 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{T5PR5UFL3HFJNGCZBXPVLWBJAT}

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 2026-05-18T00:51:46.375481Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9f5f1ed0abd9ca9698590ddf55d82904f945f44d85e2282c282b61bb8a0b4dd0

Aliases

arxiv: 1609.04012 · arxiv_version: 1609.04012v2 · doi: 10.48550/arxiv.1609.04012 · pith_short_12: T5PR5UFL3HFJ · pith_short_16: T5PR5UFL3HFJNGCZ · pith_short_8: T5PR5UFL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/T5PR5UFL3HFJNGCZBXPVLWBJAT \
  | 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: 9f5f1ed0abd9ca9698590ddf55d82904f945f44d85e2282c282b61bb8a0b4dd0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "05a23867130dbf075e676ac26ff715caa35cb37c37fcca827a4feaaacee79ac4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-13T20:00:00Z",
    "title_canon_sha256": "9f50a61de996f1fb1794600b8b30138542ce98d5ce0012de827e9a2854f33c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04012",
    "kind": "arxiv",
    "version": 2
  }
}