Pith Number

pith:DWIDQM7E

pith:2012:DWIDQM7EL62WRG42PM5SVACUUN

not attested not anchored not stored refs pending

On linear instability of solitary waves for the nonlinear Dirac equation

Andrew Comech, Meijiao Guan, Stephen Gustafson

arxiv:1209.1146 v3 · 2012-09-05 · math.AP · math-ph · math.MP · math.SP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWIDQM7EL62WRG42PM5SVACUUN}

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	2026-05-18T03:20:58.752642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d903833e45fb5689b9a7b3b2a8054a349b2e2f955e293b3abea3515fc486ef1

Aliases

arxiv: 1209.1146 · arxiv_version: 1209.1146v3 · doi: 10.48550/arxiv.1209.1146 · pith_short_12: DWIDQM7EL62W · pith_short_16: DWIDQM7EL62WRG42 · pith_short_8: DWIDQM7E

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/DWIDQM7EL62WRG42PM5SVACUUN \
  | 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: 1d903833e45fb5689b9a7b3b2a8054a349b2e2f955e293b3abea3515fc486ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae711c691ba002baf7ba951f34265b3b88d7e3b3a5eb2e952241634a2883858f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-05T23:43:22Z",
    "title_canon_sha256": "20f6166b324690e97369b6f6ff70717da5b63b00d71a7306143b2046b53d4205"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1146",
    "kind": "arxiv",
    "version": 3
  }
}