Pith Number

pith:PTHNWYQH

pith:2011:PTHNWYQH5URG3RZLNPM6NZ7NXE

not attested not anchored not stored refs pending

The Chern-Connes Character for pseudodifferential operators on the sphere

David P. Dias, Severino T. Melo

arxiv:1112.2148 v1 · 2011-12-09 · 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{PTHNWYQH5URG3RZLNPM6NZ7NXE}

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	2026-05-18T04:06:43.998134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ccedb6207ed226dc72b6bd9e6e7edb91e16efb9fb8c8e2672ccd19de58c2bf9

Aliases

arxiv: 1112.2148 · arxiv_version: 1112.2148v1 · doi: 10.48550/arxiv.1112.2148 · pith_short_12: PTHNWYQH5URG · pith_short_16: PTHNWYQH5URG3RZL · pith_short_8: PTHNWYQH

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/PTHNWYQH5URG3RZLNPM6NZ7NXE \
  | 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: 7ccedb6207ed226dc72b6bd9e6e7edb91e16efb9fb8c8e2672ccd19de58c2bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1627158f7420b41d72173a5d5678f35eb383a193f2c72f5f549bed79ee5422c7",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-09T16:59:00Z",
    "title_canon_sha256": "99b764af3d650f62c3330652ecfb4846c4fe95196c5f3eb597e655784fdea241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2148",
    "kind": "arxiv",
    "version": 1
  }
}