Pith Number

pith:DK2VRTWU

pith:2015:DK2VRTWU54W6IRCKV2GNTSJQ32

not attested not anchored not stored refs pending

Minimal energy solutions and infinitely many bifurcating branches for a class of saturated nonlinear Schr\"odinger systems

Rainer Mandel

arxiv:1503.08974 v1 · 2015-03-31 · 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{DK2VRTWU54W6IRCKV2GNTSJQ32}

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	2026-05-18T02:19:51.719829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ab558ced4ef2de4444aae8cd9c930de91898c19f24d2323a60df1414f701724

Aliases

arxiv: 1503.08974 · arxiv_version: 1503.08974v1 · doi: 10.48550/arxiv.1503.08974 · pith_short_12: DK2VRTWU54W6 · pith_short_16: DK2VRTWU54W6IRCK · pith_short_8: DK2VRTWU

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/DK2VRTWU54W6IRCKV2GNTSJQ32 \
  | 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: 1ab558ced4ef2de4444aae8cd9c930de91898c19f24d2323a60df1414f701724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335971f0ec697bdaeb03471fe9e48dc136235e656dfbaab6b1af347555dcca3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-31T09:18:09Z",
    "title_canon_sha256": "0c95d7b235f9541b56a4ecb5c6e975f55f5fd04a5de63e84977771b93b423f07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08974",
    "kind": "arxiv",
    "version": 1
  }
}