Pith Number

pith:FOC5P2OR

pith:2019:FOC5P2ORRHTL5J6EWVTMTWR4HH

not attested not anchored not stored refs pending

A twisted local index formula for curved noncommutative two tori

Farzad Fathizadeh, Franz Luef, Jim Tao

arxiv:1904.03810 v1 · 2019-04-08 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOC5P2ORRHTL5J6EWVTMTWR4HH}

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	2026-05-17T23:49:08.082304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b85d7e9d189e6bea7c4b566c9da3c39e5a7628eeceb5f5e46b0d546229f2c0b

Aliases

arxiv: 1904.03810 · arxiv_version: 1904.03810v1 · doi: 10.48550/arxiv.1904.03810 · pith_short_12: FOC5P2ORRHTL · pith_short_16: FOC5P2ORRHTL5J6E · pith_short_8: FOC5P2OR

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/FOC5P2ORRHTL5J6EWVTMTWR4HH \
  | 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: 2b85d7e9d189e6bea7c4b566c9da3c39e5a7628eeceb5f5e46b0d546229f2c0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2133004bc2c5c6183aba5e171036bd5a0cb30045359a2c6442718dea9b601547",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-04-08T02:57:50Z",
    "title_canon_sha256": "38d8b135f6f0dfa33417d57c2e68027a34c29d2881b8d292dad2e8be34d9df6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03810",
    "kind": "arxiv",
    "version": 1
  }
}