Pith Number

pith:P464N3L7

pith:2014:P464N3L7MFDFODBHPZIZKAHFBP

not attested not anchored not stored refs pending

Global bifurcation of steady gravity water waves with critical layers

Adrian Constantin, Eugen Varvaruca, Walter Strauss

arxiv:1407.0092 v1 · 2014-07-01 · 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{P464N3L7MFDFODBHPZIZKAHFBP}

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	2026-05-18T02:48:35.227631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f3dc6ed7f6146570c277e519500e50bc287d9c828349e015ae68eb21d14dcad

Aliases

arxiv: 1407.0092 · arxiv_version: 1407.0092v1 · doi: 10.48550/arxiv.1407.0092 · pith_short_12: P464N3L7MFDF · pith_short_16: P464N3L7MFDFODBH · pith_short_8: P464N3L7

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/P464N3L7MFDFODBHPZIZKAHFBP \
  | 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: 7f3dc6ed7f6146570c277e519500e50bc287d9c828349e015ae68eb21d14dcad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0deec55c09388cbbd2033e651b18ec10eeb64293f4d17c3cc27acb30c648b68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-07-01T01:58:08Z",
    "title_canon_sha256": "3bac3baa6a7c4165167b8215d764db7d1a2e30470f7bb755e5db332821af4480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0092",
    "kind": "arxiv",
    "version": 1
  }
}