Pith Number

pith:SKQXN4J5

pith:2019:SKQXN4J5PDO4IDUAGORSTHBTRC

not attested not anchored not stored refs pending

Uniform $L^p$ Resolvent Estimates on the Torus

Jonathan Hickman

arxiv:1907.08131 v1 · 2019-07-18 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SKQXN4J5PDO4IDUAGORSTHBTRC}

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	2026-05-17T23:40:15.013805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92a176f13d78ddc40e8033a3299c33889a5ef889d6183e225c0e623510e078ea

Aliases

arxiv: 1907.08131 · arxiv_version: 1907.08131v1 · doi: 10.48550/arxiv.1907.08131 · pith_short_12: SKQXN4J5PDO4 · pith_short_16: SKQXN4J5PDO4IDUA · pith_short_8: SKQXN4J5

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/SKQXN4J5PDO4IDUAGORSTHBTRC \
  | 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: 92a176f13d78ddc40e8033a3299c33889a5ef889d6183e225c0e623510e078ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755853299672693d26d77e994167a9fad8f3cb4da71a9ca08b61a405a8ee250c",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-18T16:09:15Z",
    "title_canon_sha256": "82a870efe9a22f2e9fd55b39374e7f18a6c98be66bc8981351205270652cb111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08131",
    "kind": "arxiv",
    "version": 1
  }
}