Pith Number

pith:OSY4WRR4

pith:2012:OSY4WRR44NFHRRBQMOA6XHFDM2

not attested not anchored not stored refs pending

Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation

Didier Smets (LJLL), Fabrice B\'ethuel (LJLL), Philippe Gravejat (CMLS-EcolePolytechnique)

arxiv:1206.2221 v1 · 2012-06-11 · 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{OSY4WRR44NFHRRBQMOA6XHFDM2}

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	2026-05-18T03:53:53.110097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74b1cb463ce34a78c4306381eb9ca36681ef5ee769bc3759c25d52e27fdf7265

Aliases

arxiv: 1206.2221 · arxiv_version: 1206.2221v1 · doi: 10.48550/arxiv.1206.2221 · pith_short_12: OSY4WRR44NFH · pith_short_16: OSY4WRR44NFHRRBQ · pith_short_8: OSY4WRR4

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/OSY4WRR44NFHRRBQMOA6XHFDM2 \
  | 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: 74b1cb463ce34a78c4306381eb9ca36681ef5ee769bc3759c25d52e27fdf7265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b5066dfd58bb00765d284baec001de5a6aecd35d39a2b674083de1b5777327",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-11T14:26:38Z",
    "title_canon_sha256": "5bc8662575c616e6ed1dcf422724f13bc6c67fcbf51ccfa1b087063b3e8f7dda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2221",
    "kind": "arxiv",
    "version": 1
  }
}