Pith Number

pith:TPU3QINT

pith:2012:TPU3QINTZXAHJPAA5PTCGAFGRK

not attested not anchored not stored refs pending

On spectral stability of the nonlinear Dirac equation

Andrew Comech, Nabile Boussaid

arxiv:1211.3336 v4 · 2012-11-14 · math.AP · math-ph · math.MP · 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{TPU3QINTZXAHJPAA5PTCGAFGRK}

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	2026-05-18T01:14:18.570205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9be9b821b3cdc074bc00ebe62300a68a964349908d2a13a52b5c349249e69cad

Aliases

arxiv: 1211.3336 · arxiv_version: 1211.3336v4 · doi: 10.48550/arxiv.1211.3336 · pith_short_12: TPU3QINTZXAH · pith_short_16: TPU3QINTZXAHJPAA · pith_short_8: TPU3QINT

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/TPU3QINTZXAHJPAA5PTCGAFGRK \
  | 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: 9be9b821b3cdc074bc00ebe62300a68a964349908d2a13a52b5c349249e69cad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de35f95ab646c74747b9b64906680a3f315963f33c3cca8a57200b85397b9a32",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-14T15:36:57Z",
    "title_canon_sha256": "20f89358a1c9cb899ed989fc1e89656db4d1432a97ad34afcba0baf17f4bab64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3336",
    "kind": "arxiv",
    "version": 4
  }
}