Pith Number

pith:O4USRLPG

pith:2016:O4USRLPGBVTR5ZN3OTXJSOKV54

not attested not anchored not stored refs pending

Local scaling asymptotics for the Gutzwiller trace formula in Berezin-T\"oplitz quantization

Roberto Paoletti

arxiv:1601.02128 v2 · 2016-01-09 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4USRLPGBVTR5ZN3OTXJSOKV54}

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	2026-05-18T01:22:09.932645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

772928ade60d671ee5bb74ee993955ef33896b91941b972ca3552bad0aae893f

Aliases

arxiv: 1601.02128 · arxiv_version: 1601.02128v2 · doi: 10.48550/arxiv.1601.02128 · pith_short_12: O4USRLPGBVTR · pith_short_16: O4USRLPGBVTR5ZN3 · pith_short_8: O4USRLPG

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/O4USRLPGBVTR5ZN3OTXJSOKV54 \
  | 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: 772928ade60d671ee5bb74ee993955ef33896b91941b972ca3552bad0aae893f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8dd6e67a676d0aef0f13ec1d977f3def6e3c30955a131a67ce75974c95937bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-01-09T16:37:07Z",
    "title_canon_sha256": "d4b98b115d0f9ca71bdc0cd6914d557d91ef9f4024820d52b7a4783c68f41159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02128",
    "kind": "arxiv",
    "version": 2
  }
}