Pith Number

pith:ORXEJT6P

pith:2011:ORXEJT6P7UADYJQRTFXZF4EE7N

not attested not anchored not stored refs pending

On instability of some approximate periodic solutions for the full nonlinear Schr\"odinger equation

Jeremy L. Marzuola, Scipio Cuccagna

arxiv:1103.0198 v1 · 2011-03-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORXEJT6P7UADYJQRTFXZF4EE7N}

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	2026-05-18T04:27:37.120632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

746e44cfcffd003c2611996f92f084fb57aa2172bc6806e433aefaf706a446bb

Aliases

arxiv: 1103.0198 · arxiv_version: 1103.0198v1 · doi: 10.48550/arxiv.1103.0198 · pith_short_12: ORXEJT6P7UAD · pith_short_16: ORXEJT6P7UADYJQR · pith_short_8: ORXEJT6P

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/ORXEJT6P7UADYJQRTFXZF4EE7N \
  | 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: 746e44cfcffd003c2611996f92f084fb57aa2172bc6806e433aefaf706a446bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e91163d2426036e51deec215de11c3081184db2753953a710581ad1bdfa2c9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-01T15:38:54Z",
    "title_canon_sha256": "df7b3d5eb1028264171ff5f182480843f3c4c337f09a365c9ed89ddb7a10fd98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0198",
    "kind": "arxiv",
    "version": 1
  }
}