Pith Number

pith:LXRDUZ37

pith:2008:LXRDUZ37LNW5C2MN4WXVF6W5MN

not attested not anchored not stored refs pending

The Algebra of Formal Twisted Pseudodifferential Symbols and a Noncommutative Residue

Farzad Fathizadeh, Masoud Khalkhali

arxiv:0810.0484 v2 · 2008-10-02 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXRDUZ37LNW5C2MN4WXVF6W5MN}

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	2026-05-18T04:23:11.806874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de23a677f5b6dd1698de5af52fadd6361055cc5abe0d034a2414319af54a65f

Aliases

arxiv: 0810.0484 · arxiv_version: 0810.0484v2 · doi: 10.48550/arxiv.0810.0484 · pith_short_12: LXRDUZ37LNW5 · pith_short_16: LXRDUZ37LNW5C2MN · pith_short_8: LXRDUZ37

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/LXRDUZ37LNW5C2MN4WXVF6W5MN \
  | 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: 5de23a677f5b6dd1698de5af52fadd6361055cc5abe0d034a2414319af54a65f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57769576328d9deb1ed907b25d147b2a5a0fab2f3875bde221176b5f29174a24",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2008-10-02T16:55:16Z",
    "title_canon_sha256": "a4d8516123c8b4e954fec5902f1940dfeb8c57f78c99e2089084591d3e6d7a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0484",
    "kind": "arxiv",
    "version": 2
  }
}