Pith Number

pith:X5YJS4V4

pith:2009:X5YJS4V4S2VQW4XO4KST25OB2Z

not attested not anchored not stored refs pending

Pseudo-differential Operators and Regularity of Spectral Triples

Otgonbayar Uuye

arxiv:0911.0816 v4 · 2009-11-04 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5YJS4V4S2VQW4XO4KST25OB2Z}

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	2026-05-18T04:08:35.025475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf709972bc96ab0b72eee2a53d75c1d64dcacea76bc8f1fdbb935000eb330f3b

Aliases

arxiv: 0911.0816 · arxiv_version: 0911.0816v4 · doi: 10.48550/arxiv.0911.0816 · pith_short_12: X5YJS4V4S2VQ · pith_short_16: X5YJS4V4S2VQW4XO · pith_short_8: X5YJS4V4

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/X5YJS4V4S2VQW4XO4KST25OB2Z \
  | 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: bf709972bc96ab0b72eee2a53d75c1d64dcacea76bc8f1fdbb935000eb330f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67bc2dcfa4144b129a405944273d337211c81cec82979ca7958f61b49b5e403f",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-11-04T13:27:30Z",
    "title_canon_sha256": "5aeb97ed3f3866cc34143699ee3532afa045852837bec3647d4cc873138fa1f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0816",
    "kind": "arxiv",
    "version": 4
  }
}