Pith Number

pith:URAY3NMK

pith:2012:URAY3NMKBUL6AH7ZDHVDBMVL2Z

not attested not anchored not stored refs pending

Normalized solutions of nonlinear Schr\"odinger equations

S\'ebastien de Valeriola, Thomas Bartsch

arxiv:1209.0950 v1 · 2012-09-05 · 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{URAY3NMKBUL6AH7ZDHVDBMVL2Z}

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	2026-05-18T01:29:13.616028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4418db58a0d17e01ff919ea30b2abd66b6f25e45aff2538494269e829fc29b6

Aliases

arxiv: 1209.0950 · arxiv_version: 1209.0950v1 · doi: 10.48550/arxiv.1209.0950 · pith_short_12: URAY3NMKBUL6 · pith_short_16: URAY3NMKBUL6AH7Z · pith_short_8: URAY3NMK

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/URAY3NMKBUL6AH7ZDHVDBMVL2Z \
  | 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: a4418db58a0d17e01ff919ea30b2abd66b6f25e45aff2538494269e829fc29b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c71120c591ffdbde186b809dbcade4b59e0becdf82feacbfe362c404a8afc0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-05T12:47:32Z",
    "title_canon_sha256": "251579ff65dc1dfa7b79c71447ca2c10bc6e87f9b3f101e382aed8c17300c0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0950",
    "kind": "arxiv",
    "version": 1
  }
}