Pith Number

pith:DCNO4G6T

pith:2011:DCNO4G6TV5JMXJI2WRPR55SVTR

not attested not anchored not stored refs pending

On stability of standing waves of nonlinear Dirac equations

Nabile Boussaid (LM-Besan\c{c}on), Scipio Cuccagna (DMI)

arxiv:1103.4452 v3 · 2011-03-23 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCNO4G6TV5JMXJI2WRPR55SVTR}

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	2026-05-18T04:01:23.297881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

189aee1bd3af52cba51ab45f1ef6559c6cf9c3ce18e906de02ddf752eb5b004b

Aliases

arxiv: 1103.4452 · arxiv_version: 1103.4452v3 · doi: 10.48550/arxiv.1103.4452 · pith_short_12: DCNO4G6TV5JM · pith_short_16: DCNO4G6TV5JMXJI2 · pith_short_8: DCNO4G6T

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/DCNO4G6TV5JMXJI2WRPR55SVTR \
  | 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: 189aee1bd3af52cba51ab45f1ef6559c6cf9c3ce18e906de02ddf752eb5b004b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7c897951aeb56757501378118450ea23095c5a28867b019cc7a1a5a889c268c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-23T06:13:56Z",
    "title_canon_sha256": "497aa71cef67244758404976f74aaa81844f6b6d40f486012f48e28bd1f6807d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4452",
    "kind": "arxiv",
    "version": 3
  }
}