Pith Number

pith:CSUAZF5O

pith:2014:CSUAZF5O5G6PI4I2METGYHME4B

not attested not anchored not stored refs pending

Dispersive estimates with loss of derivatives via the heat semigroup and the wave operator

Frederic Bernicot (LMJL), Valentin Samoyeau (LMJL)

arxiv:1407.4086 v1 · 2014-07-15 · math.CA · 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{CSUAZF5O5G6PI4I2METGYHME4B}

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	2026-05-18T02:47:31.950459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14a80c97aee9bcf4711a61266c1d84e07436b1a45dd0bc6a0938d6c2e0eef17d

Aliases

arxiv: 1407.4086 · arxiv_version: 1407.4086v1 · doi: 10.48550/arxiv.1407.4086 · pith_short_12: CSUAZF5O5G6P · pith_short_16: CSUAZF5O5G6PI4I2 · pith_short_8: CSUAZF5O

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/CSUAZF5O5G6PI4I2METGYHME4B \
  | 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: 14a80c97aee9bcf4711a61266c1d84e07436b1a45dd0bc6a0938d6c2e0eef17d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0763e92ea83c56f9c13dd87afccac9775d2c3bb1291f78813076afe2480a008",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-07-15T18:24:19Z",
    "title_canon_sha256": "bcf02e15dea8085b0b463a46b849e6c499962526981336733c943909226cfbe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4086",
    "kind": "arxiv",
    "version": 1
  }
}