Pith Number

pith:WL6GHGOV

pith:2015:WL6GHGOVNW6U6DT6PCMHOPNL5U

not attested not anchored not stored refs pending

On linear stability of crystals in the Schroedinger-Poisson model

Alexander Komech, Elena Kopylova

arxiv:1505.07074 v25 · 2015-05-26 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WL6GHGOVNW6U6DT6PCMHOPNL5U}

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	2026-05-18T01:02:45.879871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2fc6399d56dbd4f0e7e7898773dabed16988d9ba9b642e3460e567961a2c505

Aliases

arxiv: 1505.07074 · arxiv_version: 1505.07074v25 · doi: 10.48550/arxiv.1505.07074 · pith_short_12: WL6GHGOVNW6U · pith_short_16: WL6GHGOVNW6U6DT6 · pith_short_8: WL6GHGOV

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/WL6GHGOVNW6U6DT6PCMHOPNL5U \
  | 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: b2fc6399d56dbd4f0e7e7898773dabed16988d9ba9b642e3460e567961a2c505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c73926fab6cd57efb386adf28ee234afdbbb03731c9ac74c3a72ccf023f87ec8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-26T18:41:43Z",
    "title_canon_sha256": "47cabbf247885f3def3994e01566dc8fb7fc3a8269c428ad45981333a1ef2f9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07074",
    "kind": "arxiv",
    "version": 25
  }
}