Pith Number

pith:NTMC6MN2

pith:2013:NTMC6MN2MYHQM5EKTZFBBCXCQ7

not attested not anchored not stored refs pending

Strichartz estimates for gravity water waves

Claude Zuily, Nicolas Burq, Thomas Alazard

arxiv:1308.1423 v1 · 2013-08-06 · 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{NTMC6MN2MYHQM5EKTZFBBCXCQ7}

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	2026-05-18T03:16:38.062370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd82f31ba660f06748a9e4a108ae287c87d56fa6dd940b33116ec8225e91cc3

Aliases

arxiv: 1308.1423 · arxiv_version: 1308.1423v1 · doi: 10.48550/arxiv.1308.1423 · pith_short_12: NTMC6MN2MYHQ · pith_short_16: NTMC6MN2MYHQM5EK · pith_short_8: NTMC6MN2

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/NTMC6MN2MYHQM5EKTZFBBCXCQ7 \
  | 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: 6cd82f31ba660f06748a9e4a108ae287c87d56fa6dd940b33116ec8225e91cc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd7bb16fb9f855384db72041aeb174473cf4cff3616bcfc6063a30d0a49ef88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-06T21:02:44Z",
    "title_canon_sha256": "dcfbf5e0b5e6559484f9546b92ee1138d2acfe41b1931d38d5eebcdb0e590c29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1423",
    "kind": "arxiv",
    "version": 1
  }
}