Pith Number

pith:6PS7Y5CD

pith:2017:6PS7Y5CDOELSD5HCYYEZHAS6CC

not attested not anchored not stored refs pending

Fractal Weyl laws and wave decay for general trapping

Jeffrey Galkowski, Semyon Dyatlov

arxiv:1703.06515 v2 · 2017-03-19 · math.AP · 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{6PS7Y5CDOELSD5HCYYEZHAS6CC}

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	2026-05-18T00:31:31.266152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e5fc7443711721f4e2c60993825e108b987b5a9417fb213dcbcc1dfae74e7d

Aliases

arxiv: 1703.06515 · arxiv_version: 1703.06515v2 · doi: 10.48550/arxiv.1703.06515 · pith_short_12: 6PS7Y5CDOELS · pith_short_16: 6PS7Y5CDOELSD5HC · pith_short_8: 6PS7Y5CD

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/6PS7Y5CDOELSD5HCYYEZHAS6CC \
  | 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: f3e5fc7443711721f4e2c60993825e108b987b5a9417fb213dcbcc1dfae74e7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba8e6dcf58b3affef1260aa66cb246091306c2505312a69f2862b9b90c86926",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-19T21:25:49Z",
    "title_canon_sha256": "5839f1d0b3ff36c4d0b8f90c49e014b13516f7e6d0d991d9ec2f3aa65b54bb59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06515",
    "kind": "arxiv",
    "version": 2
  }
}