Pith Number

pith:CIQKVXDR

pith:2004:CIQKVXDRK2ZRZDYIZSJYNJIWGC

not attested not anchored not stored refs pending

On the topology of T-duality

Thomas Schick (Goettingen), Ulrich Bunke (Goettingen)

arxiv:math/0405132 v5 · 2004-05-07 · math.GT · hep-th · math-ph · math.KT · 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{CIQKVXDRK2ZRZDYIZSJYNJIWGC}

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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.

Cited by

2 papers in Pith

Categorical symmetries of T-duality

Stringy T-duality on the lattice and the twisted Villain model

Receipt and verification

First computed	2026-05-18T04:34:46.546210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1220aadc7156b31c8f08cc9386a5163096af839e3b558b6dcfd20f3f2bdef2c8

Aliases

arxiv: math/0405132 · arxiv_version: math/0405132v5 · doi: 10.48550/arxiv.math/0405132 · pith_short_12: CIQKVXDRK2ZR · pith_short_16: CIQKVXDRK2ZRZDYI · pith_short_8: CIQKVXDR

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/CIQKVXDRK2ZRZDYIZSJYNJIWGC \
  | 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: 1220aadc7156b31c8f08cc9386a5163096af839e3b558b6dcfd20f3f2bdef2c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db982ef4c792973eca7b20d9a9cd1bb5769d2ef256748f6fae0df9569458f8ae",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-05-07T18:27:17Z",
    "title_canon_sha256": "94a6e9e7448aa720fe901d3fadff99f84550e7f4b35da66e711da20a6c027fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405132",
    "kind": "arxiv",
    "version": 5
  }
}