Pith Number

pith:AAHZJCOH

pith:2012:AAHZJCOHOGSGN2DA6TOTU7GS43

not attested not anchored not stored refs pending

Spectral theory of piecewise continuous functions of self-adjoint operators

Alexander Pushnitski, Dmitri Yafaev

arxiv:1209.3582 v1 · 2012-09-17 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAHZJCOHOGSGN2DA6TOTU7GS43}

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	2026-05-18T00:15:59.806821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

000f9489c771a466e860f4dd3a7cd2e6ca84c552a9b243e4d18ab453f65f1f74

Aliases

arxiv: 1209.3582 · arxiv_version: 1209.3582v1 · doi: 10.48550/arxiv.1209.3582 · pith_short_12: AAHZJCOHOGSG · pith_short_16: AAHZJCOHOGSGN2DA · pith_short_8: AAHZJCOH

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/AAHZJCOHOGSGN2DA6TOTU7GS43 \
  | 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: 000f9489c771a466e860f4dd3a7cd2e6ca84c552a9b243e4d18ab453f65f1f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a73819605c8c88002593ab336e2466995309f7889c1670058391b45f70e2858",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-09-17T08:33:34Z",
    "title_canon_sha256": "1ca004ba9365cea6cee0d3ce27b025920597d93ea68e2957fb613dc3881806d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3582",
    "kind": "arxiv",
    "version": 1
  }
}