Pith Number

pith:TFK3TEJR

pith:2012:TFK3TEJRAP3YLAS2WRI3HZLQOA

not attested not anchored not stored refs pending

Linear instability of nonlinear Dirac equation in 1D with higher order nonlinearity

Andrew Comech

arxiv:1203.3859 v2 · 2012-03-17 · 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{TFK3TEJRAP3YLAS2WRI3HZLQOA}

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	2026-05-18T03:51:01.899420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9955b9913103f785825ab451b3e570700c3ec6653419914e36df8674468fa74c

Aliases

arxiv: 1203.3859 · arxiv_version: 1203.3859v2 · doi: 10.48550/arxiv.1203.3859 · pith_short_12: TFK3TEJRAP3Y · pith_short_16: TFK3TEJRAP3YLAS2 · pith_short_8: TFK3TEJR

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/TFK3TEJRAP3YLAS2WRI3HZLQOA \
  | 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: 9955b9913103f785825ab451b3e570700c3ec6653419914e36df8674468fa74c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5452f94c9b39e5eba045fd85d447abcea6e2112688bf0c7a206dae8ab4756af",
    "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": "2012-03-17T12:51:33Z",
    "title_canon_sha256": "4e7278e8037ceb26105185c37644e984288a8721a3147c40364fbc759403ca1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3859",
    "kind": "arxiv",
    "version": 2
  }
}