Pith Number

pith:OMT6KQUX

pith:2013:OMT6KQUXQERV2JMIWMSVXJUZUL

not attested not anchored not stored refs pending

On weighted $L^2$ estimates for solutions of the wave equation

Ihyeok Seo, Youngwoo Koh

arxiv:1312.7415 v5 · 2013-12-28 · 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{OMT6KQUXQERV2JMIWMSVXJUZUL}

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	2026-05-18T01:33:57.136231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7327e5429781235d2588b3255ba699a2c1c6c022fd8b49a99e951c6a81437199

Aliases

arxiv: 1312.7415 · arxiv_version: 1312.7415v5 · doi: 10.48550/arxiv.1312.7415 · pith_short_12: OMT6KQUXQERV · pith_short_16: OMT6KQUXQERV2JMI · pith_short_8: OMT6KQUX

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/OMT6KQUXQERV2JMIWMSVXJUZUL \
  | 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: 7327e5429781235d2588b3255ba699a2c1c6c022fd8b49a99e951c6a81437199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87f11b322a9ccd4c8fc68babd3dfdd3514ccf16141f15d5d9fc2d3db31fa587f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-28T10:03:18Z",
    "title_canon_sha256": "2b1c9dddde87327187aa7f632f4ba9b2952f78d90da3ec9ce02b1f6fad00c4a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7415",
    "kind": "arxiv",
    "version": 5
  }
}