Pith Number

pith:TJM2RXPN

pith:2015:TJM2RXPNXWKBL57RWWL4DRXNC7

not attested not anchored not stored refs pending

Topological T-duality is twisted Atiyah duality

Craig Westerland

arxiv:1503.00210 v1 · 2015-03-01 · 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{TJM2RXPNXWKBL57RWWL4DRXNC7}

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	2026-05-18T02:25:54.893787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a59a8ddedbd9415f7f1b597c1c6ed17cff020552dd58ba5c0e699156bc9e783

Aliases

arxiv: 1503.00210 · arxiv_version: 1503.00210v1 · doi: 10.48550/arxiv.1503.00210 · pith_short_12: TJM2RXPNXWKB · pith_short_16: TJM2RXPNXWKBL57R · pith_short_8: TJM2RXPN

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/TJM2RXPNXWKBL57RWWL4DRXNC7 \
  | 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: 9a59a8ddedbd9415f7f1b597c1c6ed17cff020552dd58ba5c0e699156bc9e783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f15e5e603be9ef8b17f05051f57f3156ffdfa8a74c1dc66d3810e2f9698c67",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-01T03:36:35Z",
    "title_canon_sha256": "c1d5aab07cd4d12d275eb5696a96cd0015105031c4b35e5b5c4ff9edce9c5ee5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00210",
    "kind": "arxiv",
    "version": 1
  }
}