Pith Number

pith:3N554HOF

pith:2010:3N554HOF6HO5KC3Z2UGXF6LZ6W

not attested not anchored not stored refs pending

Transverse instability for periodic waves of KP-I and Schr\"odinger equations

Atanas Stefanov, Milena Stanislavova, Sevdzhan Hakkaev

arxiv:1012.3065 v1 · 2010-12-14 · 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{3N554HOF6HO5KC3Z2UGXF6LZ6W}

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	2026-05-18T04:33:18.743770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db7bde1dc5f1ddd50b79d50d72f979f59c92e0198e9de7901beb6dd68d7a85ea

Aliases

arxiv: 1012.3065 · arxiv_version: 1012.3065v1 · doi: 10.48550/arxiv.1012.3065 · pith_short_12: 3N554HOF6HO5 · pith_short_16: 3N554HOF6HO5KC3Z · pith_short_8: 3N554HOF

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/3N554HOF6HO5KC3Z2UGXF6LZ6W \
  | 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: db7bde1dc5f1ddd50b79d50d72f979f59c92e0198e9de7901beb6dd68d7a85ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1651b8cb09eaf72c8790fdf8710be9bb66ef77e1b9f5fac605aafa074c0e63a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-14T16:02:00Z",
    "title_canon_sha256": "01d5ef71dcad81ff5d344b32ae531417eb9d0bd25d31bebb458f742ea527427b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3065",
    "kind": "arxiv",
    "version": 1
  }
}