Pith Number

pith:RCZEM2PA

pith:2012:RCZEM2PAY5BNPO6L5GMP3ZMAK3

not attested not anchored not stored refs pending

Measurable operators and the asymptotics of heat kernels and zeta functions

Alan Carey, Fedor Sukochev

arxiv:1201.3661 v1 · 2012-01-17 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCZEM2PAY5BNPO6L5GMP3ZMAK3}

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	2026-05-18T04:04:18.367416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88b24669e0c742d7bbcbe998fde58056fa26b755215a8f052680350529c37a75

Aliases

arxiv: 1201.3661 · arxiv_version: 1201.3661v1 · doi: 10.48550/arxiv.1201.3661 · pith_short_12: RCZEM2PAY5BN · pith_short_16: RCZEM2PAY5BNPO6L · pith_short_8: RCZEM2PA

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/RCZEM2PAY5BNPO6L5GMP3ZMAK3 \
  | 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: 88b24669e0c742d7bbcbe998fde58056fa26b755215a8f052680350529c37a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a75d7be94434a9765400813d8f3f4844834be29e98b820788d312645d2de5d96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-17T23:03:26Z",
    "title_canon_sha256": "277a7a8e26b054cbf7dbdf78855ee41d198089b8dbcd00156e726eb3f553297d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3661",
    "kind": "arxiv",
    "version": 1
  }
}