Pith Number

pith:GKG6LT5E

pith:2019:GKG6LT5EWKGU5MK7LPYHPSRE62

not attested not anchored not stored refs pending

The Weyl formula for planar annuli

Jingwei Guo, Weiwei Wang, Wolfgang M\"uller, Zuoqin Wang

arxiv:1907.03669 v1 · 2019-07-08 · math.SP · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKG6LT5EWKGU5MK7LPYHPSRE62}

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	2026-05-17T23:41:14.067383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

328de5cfa4b28d4eb15f5bf077ca24f69e5fb8a2ca87cf31c53c1e33e611655c

Aliases

arxiv: 1907.03669 · arxiv_version: 1907.03669v1 · doi: 10.48550/arxiv.1907.03669 · pith_short_12: GKG6LT5EWKGU · pith_short_16: GKG6LT5EWKGU5MK7 · pith_short_8: GKG6LT5E

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/GKG6LT5EWKGU5MK7LPYHPSRE62 \
  | 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: 328de5cfa4b28d4eb15f5bf077ca24f69e5fb8a2ca87cf31c53c1e33e611655c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e9f3e0530c994e44596a8df773cf8b0a681dada26d21d3b30d3319fc3036962",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-07-08T15:19:26Z",
    "title_canon_sha256": "7a38d86bdf5923d979f5e32e85cf76ef83b3b27a8bddca4a592381e995e219ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03669",
    "kind": "arxiv",
    "version": 1
  }
}