Pith Number

pith:GKKPYCX3

pith:2011:GKKPYCX3E3JX4LSDCNSKSAO7KR

not attested not anchored not stored refs pending

Stationary solutions of the nonlinear Schr\"odinger equation with fast-decay potentials concentrating around local maxima

Jean Van Schaftingen, Jonathan Di Cosmo

arxiv:1109.6773 v3 · 2011-09-30 · 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{GKKPYCX3E3JX4LSDCNSKSAO7KR}

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	2026-05-18T02:57:43.829735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3294fc0afb26d37e2e431364a901df5476ac18e347e379c725ed39437d58566e

Aliases

arxiv: 1109.6773 · arxiv_version: 1109.6773v3 · doi: 10.48550/arxiv.1109.6773 · pith_short_12: GKKPYCX3E3JX · pith_short_16: GKKPYCX3E3JX4LSD · pith_short_8: GKKPYCX3

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/GKKPYCX3E3JX4LSDCNSKSAO7KR \
  | 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: 3294fc0afb26d37e2e431364a901df5476ac18e347e379c725ed39437d58566e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3998c2611ab7fe5c323f57972a9375ebe6cfc0f19faea9c8e6d15a5e80f277",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-30T09:43:27Z",
    "title_canon_sha256": "4b1756c6b34a67a1955c3951b912ff98e55c4b3cf7e0e02eca43cf1ca942903f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6773",
    "kind": "arxiv",
    "version": 3
  }
}