Pith Number

pith:MCLZRJX5

pith:2016:MCLZRJX5WH7UQE2PFP722T4NGK

not attested not anchored not stored refs pending

Local well-posedness for the Zakharov system on the background of a line soliton

Hung Luong

arxiv:1605.03912 v2 · 2016-05-12 · 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{MCLZRJX5WH7UQE2PFP722T4NGK}

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	2026-05-18T00:20:32.535458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

609798a6fdb1ff48134f2bffad4f8d329253b4834a2dcff5272a6d1dd6c0ee1f

Aliases

arxiv: 1605.03912 · arxiv_version: 1605.03912v2 · doi: 10.48550/arxiv.1605.03912 · pith_short_12: MCLZRJX5WH7U · pith_short_16: MCLZRJX5WH7UQE2P · pith_short_8: MCLZRJX5

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/MCLZRJX5WH7UQE2PFP722T4NGK \
  | 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: 609798a6fdb1ff48134f2bffad4f8d329253b4834a2dcff5272a6d1dd6c0ee1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e600c4489f233170e7f76f324025b5ec95442a6a2766a503adcfb18769920c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-12T17:41:22Z",
    "title_canon_sha256": "e6508e2b3667e62dd918ee46b9f5aa5d7c33c706fbe359d805513f358fcc1dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03912",
    "kind": "arxiv",
    "version": 2
  }
}