Pith Number

pith:XKZDIWA2

pith:2019:XKZDIWA26335LGSEKHUP77ENPH

not attested not anchored not stored refs pending

A logarithmic improvement in the two-point Weyl law for manifolds without conjugate points

Blake Keeler

arxiv:1905.05136 v3 · 2019-05-13 · 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{XKZDIWA26335LGSEKHUP77ENPH}

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.

Cited by

1 paper in Pith

Scars in random waves and the FGF 1/2 universality class

Receipt and verification

First computed	2026-07-05T03:53:33.548960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bab234581af6f7d59a4451e8fffc8d79e45adb348a16ae880052e94873eae2e3

Aliases

arxiv: 1905.05136 · arxiv_version: 1905.05136v3 · doi: 10.48550/arxiv.1905.05136 · pith_short_12: XKZDIWA26335 · pith_short_16: XKZDIWA26335LGSE · pith_short_8: XKZDIWA2

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/XKZDIWA26335LGSEKHUP77ENPH \
  | 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: bab234581af6f7d59a4451e8fffc8d79e45adb348a16ae880052e94873eae2e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a4c0ac2c48acc97f930e5e62723d106d3460aff004aeb3d31c4e0f758ca97a1",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-13T16:42:10Z",
    "title_canon_sha256": "8f1cd3e39e72457819aa673f9f08be29edf36020d7def319a5d331fed9385fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05136",
    "kind": "arxiv",
    "version": 3
  }
}