Pith Number

pith:7JIBHZYO

pith:2011:7JIBHZYOPQYDFOH3DNJMU6PWZD

not attested not anchored not stored refs pending

A Noncommutative Residue on Tori and a Semiclassical Limit

Farzad Fathizadeh

arxiv:1112.6156 v1 · 2011-12-28 · math.AP · math.OA · 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{7JIBHZYOPQYDFOH3DNJMU6PWZD}

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	2026-05-18T04:05:36.638519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa5013e70e7c3032b8fb1b52ca79f6c8ecfd9608d0a38fbfc4eb9abb021c4ef9

Aliases

arxiv: 1112.6156 · arxiv_version: 1112.6156v1 · doi: 10.48550/arxiv.1112.6156 · pith_short_12: 7JIBHZYOPQYD · pith_short_16: 7JIBHZYOPQYDFOH3 · pith_short_8: 7JIBHZYO

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/7JIBHZYOPQYDFOH3DNJMU6PWZD \
  | 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: fa5013e70e7c3032b8fb1b52ca79f6c8ecfd9608d0a38fbfc4eb9abb021c4ef9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "672977898b4fb6a370d428b8e4e1aa3990957ab8ce4d75e5277909f87c7bf225",
    "cross_cats_sorted": [
      "math.OA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-28T17:50:33Z",
    "title_canon_sha256": "643c0619d211f601ab124bb09faab37b41b3e223f024bccac32ab57dc94c89ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6156",
    "kind": "arxiv",
    "version": 1
  }
}