Pith Number

pith:SGU7HPGD

pith:2012:SGU7HPGDZHZQK3PLEZR5M7GVMF

not attested not anchored not stored refs pending

Cubic-Quintic Long-Range Interactions With Double Well Potentials

Panagiotis A. Tsilifis, Panagiotis G. Kevrekidis, Vassilios M. Rothos

arxiv:1207.6731 v2 · 2012-07-28 · math-ph · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGU7HPGDZHZQK3PLEZR5M7GVMF}

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	2026-05-18T03:27:13.935835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91a9f3bcc3c9f3056deb2663d67cd56143263286a44a3f22aac59d013fedd497

Aliases

arxiv: 1207.6731 · arxiv_version: 1207.6731v2 · doi: 10.48550/arxiv.1207.6731 · pith_short_12: SGU7HPGDZHZQ · pith_short_16: SGU7HPGDZHZQK3PL · pith_short_8: SGU7HPGD

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/SGU7HPGDZHZQK3PLEZR5M7GVMF \
  | 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: 91a9f3bcc3c9f3056deb2663d67cd56143263286a44a3f22aac59d013fedd497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c535f339054068925aa985cd4c372dd185a7e5bf2caab6a6441710f12c96179b",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-28T21:19:22Z",
    "title_canon_sha256": "fd660cefa4392dfc9517f52872e160213bb86e0edd0d73c2556cc5939d06028f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6731",
    "kind": "arxiv",
    "version": 2
  }
}