Pith Number

pith:OFSUOW7O

pith:2012:OFSUOW7OI7JCPEE5QSL4Y6MCPF

not attested not anchored not stored refs pending

On the nonlinear stage of Modulation Instability

A. A. Gelash, V. E. Zakharov

arxiv:1212.1393 v3 · 2012-12-06 · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFSUOW7OI7JCPEE5QSL4Y6MCPF}

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	2026-05-18T03:16:27.100944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7165475bee47d227909d8497cc7982797065bb3967da0ec0627995edd3492422

Aliases

arxiv: 1212.1393 · arxiv_version: 1212.1393v3 · doi: 10.48550/arxiv.1212.1393 · pith_short_12: OFSUOW7OI7JC · pith_short_16: OFSUOW7OI7JCPEE5 · pith_short_8: OFSUOW7O

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/OFSUOW7OI7JCPEE5QSL4Y6MCPF \
  | 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: 7165475bee47d227909d8497cc7982797065bb3967da0ec0627995edd3492422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5dbf224a5046e8541890d7f7c0fe82fce50e579d3bf59bf9b4a320d03aad4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2012-12-06T17:47:25Z",
    "title_canon_sha256": "2c91cae2ece8a351d994b57472d947af43fb9a7a14bd2ef12971e831612c517f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1393",
    "kind": "arxiv",
    "version": 3
  }
}