Pith Number

pith:KF6XYHAK

pith:2010:KF6XYHAKMUKF6QF3YQ4C6XSK76

not attested not anchored not stored refs pending

Nonlinear Stability for the Periodic and Non-Periodic Zakharov System

Carlos Banquet, Jaime Angulo

arxiv:1011.3453 v2 · 2010-11-15 · 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{KF6XYHAKMUKF6QF3YQ4C6XSK76}

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	2026-05-18T04:35:46.739992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517d7c1c0a65145f40bbc4382f5e4affb2e6f0fd9af88c0a16bc542a6e40932c

Aliases

arxiv: 1011.3453 · arxiv_version: 1011.3453v2 · doi: 10.48550/arxiv.1011.3453 · pith_short_12: KF6XYHAKMUKF · pith_short_16: KF6XYHAKMUKF6QF3 · pith_short_8: KF6XYHAK

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/KF6XYHAKMUKF6QF3YQ4C6XSK76 \
  | 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: 517d7c1c0a65145f40bbc4382f5e4affb2e6f0fd9af88c0a16bc542a6e40932c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12edb39cf35bf1cbb62b744b2f194ed1d72954c69d4e42ef3ae220742dcd44ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-15T17:09:52Z",
    "title_canon_sha256": "3dccdc8c8834319d6dec93802cf6da8f6623d75af0b45da69a0d86f103fafa61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3453",
    "kind": "arxiv",
    "version": 2
  }
}