Pith Number

pith:4PBDKCWR

pith:2016:4PBDKCWRJSBOXU46QAM3JOQ3OH

not attested not anchored not stored refs pending

Group dualities, T-dualities, and twisted K-theory

Jonathan Rosenberg, Varghese Mathai

arxiv:1603.00969 v2 · 2016-03-03 · hep-th · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PBDKCWRJSBOXU46QAM3JOQ3OH}

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	2026-05-18T00:24:10.554382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3c2350ad14c82ebd39e8019b4ba1b71dc9c4bc38bc3e3f2831790a69a042467

Aliases

arxiv: 1603.00969 · arxiv_version: 1603.00969v2 · doi: 10.48550/arxiv.1603.00969 · pith_short_12: 4PBDKCWRJSBO · pith_short_16: 4PBDKCWRJSBOXU46 · pith_short_8: 4PBDKCWR

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/4PBDKCWRJSBOXU46QAM3JOQ3OH \
  | 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: e3c2350ad14c82ebd39e8019b4ba1b71dc9c4bc38bc3e3f2831790a69a042467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dd5e71945a6dd9915ae84fb1899df9f969540fd0406c0c53f943cb3f908ad88",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-03-03T04:26:42Z",
    "title_canon_sha256": "0d4f8d65975bc4450e499d0d21ada674fc7605b310a0bcf78e84aae3009fd3b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00969",
    "kind": "arxiv",
    "version": 2
  }
}