Pith Number

pith:JUS2KX7U

pith:2009:JUS2KX7UFNNVYSYFRI4K2IEGGU

not attested not anchored not stored refs pending

T-duality and Differential K-Theory

Alessandro Valentino, Alexander Kahle

arxiv:0912.2516 v2 · 2009-12-14 · math.KT · hep-th · 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{JUS2KX7UFNNVYSYFRI4K2IEGGU}

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	2026-05-18T03:27:10.472352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d25a55ff42b5b5c4b058a38ad208635387589e648eab07a6a4ad55336590a1a

Aliases

arxiv: 0912.2516 · arxiv_version: 0912.2516v2 · doi: 10.48550/arxiv.0912.2516 · pith_short_12: JUS2KX7UFNNV · pith_short_16: JUS2KX7UFNNVYSYF · pith_short_8: JUS2KX7U

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/JUS2KX7UFNNVYSYFRI4K2IEGGU \
  | 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: 4d25a55ff42b5b5c4b058a38ad208635387589e648eab07a6a4ad55336590a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55ca4e1ed5f3cc7fcd1ad8f42387090dbe52db3fa50f2e41d9ada8aba343e889",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-12-14T10:16:15Z",
    "title_canon_sha256": "d4cf5f171c5870296502d7bc8b9949ea856f499082bf8b546a4e7c88a12c3b6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2516",
    "kind": "arxiv",
    "version": 2
  }
}