Pith Number

pith:TLKXBMNZ

pith:2017:TLKXBMNZGD4FZRNFQRCYQ6BPTY

not attested not anchored not stored refs pending

$T$-duality on nilmanifolds

Leonardo Soriani, Lino Grama, Viviana del Barco

arxiv:1703.07497 v5 · 2017-03-22 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLKXBMNZGD4FZRNFQRCYQ6BPTY}

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	2026-05-18T00:11:50.908065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad570b1b930f85cc5a5844588782f9e1a6c105707076459667092a33d1a1302

Aliases

arxiv: 1703.07497 · arxiv_version: 1703.07497v5 · doi: 10.48550/arxiv.1703.07497 · pith_short_12: TLKXBMNZGD4F · pith_short_16: TLKXBMNZGD4FZRNF · pith_short_8: TLKXBMNZ

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/TLKXBMNZGD4FZRNFQRCYQ6BPTY \
  | 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: 9ad570b1b930f85cc5a5844588782f9e1a6c105707076459667092a33d1a1302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8b8281114ca4395fbb4ff56ba5181566514bb800de832cb02e776f4a0bb6e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-22T02:39:23Z",
    "title_canon_sha256": "3f6a079947a26b6b0ca330019e525d713bcb67830a6426e1420fc6f320c6313e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07497",
    "kind": "arxiv",
    "version": 5
  }
}