Pith Number

pith:4TLE32QR

pith:2010:4TLE32QRGYUDZRBNGKRREQHSNB

not attested not anchored not stored refs pending

Bilinear local smoothing estimate for Airy equation

Soonsik Kwon, Tristan Roy

arxiv:1009.0722 v2 · 2010-09-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TLE32QRGYUDZRBNGKRREQHSNB}

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	2026-05-18T04:16:30.867716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d64dea1136283cc42d32a31240f26843b46aabe16665b2ccadb9977f9d78de

Aliases

arxiv: 1009.0722 · arxiv_version: 1009.0722v2 · doi: 10.48550/arxiv.1009.0722 · pith_short_12: 4TLE32QRGYUD · pith_short_16: 4TLE32QRGYUDZRBN · pith_short_8: 4TLE32QR

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/4TLE32QRGYUDZRBNGKRREQHSNB \
  | 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: e4d64dea1136283cc42d32a31240f26843b46aabe16665b2ccadb9977f9d78de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7cfcf16953cdf322f1fbcb696f8bd77d008e2280ed79a4f170c32ee2b4e7895",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-03T17:00:43Z",
    "title_canon_sha256": "7dd3350ebe2d3fb774f670ed89335fbef820fe4530655f42de520f5919b2ef8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0722",
    "kind": "arxiv",
    "version": 2
  }
}