Pith Number

pith:BMVRXGH5

pith:2015:BMVRXGH5QNLCKLDSUMUZ3D6MAD

not attested not anchored not stored refs pending

Groundstates and radial solutions to nonlinear Schr\"odinger-Poisson-Slater equations at the critical frequency

Carlo Mercuri, Jean Van Schaftingen, Vitaly Moroz

arxiv:1507.02837 v3 · 2015-07-10 · 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{BMVRXGH5QNLCKLDSUMUZ3D6MAD}

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	2026-05-18T00:41:08.419747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b2b1b98fd8356252c72a3299d8fcc00c4c3f95baf5c0c72ddacd0e7320353ad

Aliases

arxiv: 1507.02837 · arxiv_version: 1507.02837v3 · doi: 10.48550/arxiv.1507.02837 · pith_short_12: BMVRXGH5QNLC · pith_short_16: BMVRXGH5QNLCKLDS · pith_short_8: BMVRXGH5

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/BMVRXGH5QNLCKLDSUMUZ3D6MAD \
  | 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: 0b2b1b98fd8356252c72a3299d8fcc00c4c3f95baf5c0c72ddacd0e7320353ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c968242ea27e7609403f9cf4ee80039e666c901b8ded6e0f0f52d643b1430c41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-10T10:35:41Z",
    "title_canon_sha256": "1167960f8618ca55e42a99d54327da57f895b542419f0f6c077e866105a30116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02837",
    "kind": "arxiv",
    "version": 3
  }
}