Pith Number

pith:5URBJVI5

pith:2021:5URBJVI5BNXE6X2OCM3C4F3S2U

not attested not anchored not stored refs pending

Abelian duality in topological field theory

Yu Leon Liu

arxiv:2112.02199 v1 · 2021-12-04 · math-ph · hep-th · math.AT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5URBJVI5BNXE6X2OCM3C4F3S2U}

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

Topological symmetry in quantum field theory

Receipt and verification

First computed	2026-07-05T05:20:33.529336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed2214d51d0b6e4f5f4e13362e1772d50559d9d50bfb5cb9c356dc5e72bfb333

Aliases

arxiv: 2112.02199 · arxiv_version: 2112.02199v1 · doi: 10.48550/arxiv.2112.02199 · pith_short_12: 5URBJVI5BNXE · pith_short_16: 5URBJVI5BNXE6X2O · pith_short_8: 5URBJVI5

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/5URBJVI5BNXE6X2OCM3C4F3S2U \
  | 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: ed2214d51d0b6e4f5f4e13362e1772d50559d9d50bfb5cb9c356dc5e72bfb333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d63a9ffdb2756ece8d21fbbbf178953ac6005843775e8772604fb7a8cc6a251",
    "cross_cats_sorted": [
      "hep-th",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-12-04T00:08:14Z",
    "title_canon_sha256": "2da20b5329118a3a3b771f2f001b259ef4bb4db713c5d358ad4e0531c928f2a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02199",
    "kind": "arxiv",
    "version": 1
  }
}