Pith Number

pith:77AJ5LOE

pith:2012:77AJ5LOEMEMJESGFX2I5DIF67F

not attested not anchored not stored refs pending

On Nonlocal Gross-Pitaevskii Equations with Periodic Potentials

Christopher W. Curtis

arxiv:1210.1609 v1 · 2012-10-04 · math.AP · 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{77AJ5LOEMEMJESGFX2I5DIF67F}

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	2026-05-18T03:39:06.121271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc09eadc461189248c5be91d1a0bef961f27e0391668ed94ed6dbc6e801dd5f

Aliases

arxiv: 1210.1609 · arxiv_version: 1210.1609v1 · doi: 10.48550/arxiv.1210.1609 · pith_short_12: 77AJ5LOEMEMJ · pith_short_16: 77AJ5LOEMEMJESGF · pith_short_8: 77AJ5LOE

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/77AJ5LOEMEMJESGFX2I5DIF67F \
  | 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: ffc09eadc461189248c5be91d1a0bef961f27e0391668ed94ed6dbc6e801dd5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53aeb3bc4c073aa597f4adca0c840341795d12b6396af30a66d9843ca97fa0e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-04T23:02:34Z",
    "title_canon_sha256": "cd10a42a8b09545a5dd6beffba5de052c5bc129e80f12d7a22edcd74f01920e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1609",
    "kind": "arxiv",
    "version": 1
  }
}