Pith Number

pith:47WRFEHL

pith:2005:47WRFEHLKMPDT6PVCUS7FHTQWC

not attested not anchored not stored refs pending

Non-commutative tori and Fourier-Mukai duality

Jonathan Block, Oren Ben-Bassat, Tony Pantev

arxiv:math/0509161 v1 · 2005-09-07 · math.AG · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47WRFEHLKMPDT6PVCUS7FHTQWC}

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	2026-05-17T23:51:10.032202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ed1290eb531e39f9f51525f29e70b081d921839116fcd7c81e93c69b057347

Aliases

arxiv: math/0509161 · arxiv_version: math/0509161v1 · doi: 10.48550/arxiv.math/0509161 · pith_short_12: 47WRFEHLKMPD · pith_short_16: 47WRFEHLKMPDT6PV · pith_short_8: 47WRFEHL

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/47WRFEHLKMPDT6PVCUS7FHTQWC \
  | 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: e7ed1290eb531e39f9f51525f29e70b081d921839116fcd7c81e93c69b057347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0880456b7e71197c6666aeebdf7d7cdb742760f532373b63e702af1832e96b2f",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-09-07T19:09:28Z",
    "title_canon_sha256": "90a4619d3adc24a51ff7b1aa04661b71689357878d48d1b8b00506a546d7c414"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509161",
    "kind": "arxiv",
    "version": 1
  }
}