Pith Number

pith:L6IU6FBX

pith:2015:L6IU6FBXI4VP376YCDBVNMRE5O

not attested not anchored not stored refs pending

Some sharp bilinear space-time estimates for the wave equation

Chris Jeavons, Neal Bez, Tohru Ozawa

arxiv:1506.04504 v1 · 2015-06-15 · 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{L6IU6FBXI4VP376YCDBVNMRE5O}

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	2026-05-18T01:19:02.196758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f914f1437472afdffd810c356b224ebaedbc97d8438277968bc767a926937f6

Aliases

arxiv: 1506.04504 · arxiv_version: 1506.04504v1 · doi: 10.48550/arxiv.1506.04504 · pith_short_12: L6IU6FBXI4VP · pith_short_16: L6IU6FBXI4VP376Y · pith_short_8: L6IU6FBX

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/L6IU6FBXI4VP376YCDBVNMRE5O \
  | 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: 5f914f1437472afdffd810c356b224ebaedbc97d8438277968bc767a926937f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67abda9e717f328a99c68708aa3bc486e7e5a9a3e34418fa2159c0b714dbf671",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-15T08:04:03Z",
    "title_canon_sha256": "999675a12a385b221ba5723fe748b0679a86bebe4a99db4a4906a05b9c03d7fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04504",
    "kind": "arxiv",
    "version": 1
  }
}