Pith Number

pith:OHMYFRZ7

pith:2011:OHMYFRZ73FHTBGZ725T7D3MX2X

not attested not anchored not stored refs pending

Bilinear dispersive estimates via space-time resonances. Part I : the one dimensional case

Frederic Bernicot, Pierre Germain

arxiv:1110.4794 v1 · 2011-10-21 · 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{OHMYFRZ73FHTBGZ725T7D3MX2X}

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	2026-05-18T04:10:35.004821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71d982c73fd94f309b3fd767f1ed97d5dfdc3216fb682ac2d2dd0ee8d7281aaf

Aliases

arxiv: 1110.4794 · arxiv_version: 1110.4794v1 · doi: 10.48550/arxiv.1110.4794 · pith_short_12: OHMYFRZ73FHT · pith_short_16: OHMYFRZ73FHTBGZ7 · pith_short_8: OHMYFRZ7

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/OHMYFRZ73FHTBGZ725T7D3MX2X \
  | 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: 71d982c73fd94f309b3fd767f1ed97d5dfdc3216fb682ac2d2dd0ee8d7281aaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9023d65af2379979b51114c4642d32294bfe30124c4181c584786f06ab9a9c36",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-21T13:55:28Z",
    "title_canon_sha256": "876cf98b0e6c45bc3631a48ccdf2b63843e8df28a5d1816ba1d1d1aeb2eaff3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4794",
    "kind": "arxiv",
    "version": 1
  }
}