pith. sign in
Pith Number

pith:AZF3GIU4

pith:2013:AZF3GIU4WLBA23QPJUYSVPYBJG
not attested not anchored not stored refs pending

PT sym\'etrie et puits de potentiel

Naima Boussekkine, Nawal Mecherout

arxiv:1310.7335 v1 · 2013-10-28 · math.SP · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AZF3GIU4WLBA23QPJUYSVPYBJG}

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 2026-05-18T03:08:45.663662Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

064bb3229cb2c20d6e0f4d312abf0149addff86da6d31f8808c5f558235e0f23

Aliases

arxiv: 1310.7335 · arxiv_version: 1310.7335v1 · doi: 10.48550/arxiv.1310.7335 · pith_short_12: AZF3GIU4WLBA · pith_short_16: AZF3GIU4WLBA23QP · pith_short_8: AZF3GIU4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AZF3GIU4WLBA23QPJUYSVPYBJG \
  | 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: 064bb3229cb2c20d6e0f4d312abf0149addff86da6d31f8808c5f558235e0f23
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fa0a4faef200dc3a3077845dd8e4f20e57320276cf71a9eca94be83427474c73",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-10-28T08:17:31Z",
    "title_canon_sha256": "26cdde17f9ee9d9581c86b4dbff74bbb2ba89ab276af73fc15772ccd43bf2a24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7335",
    "kind": "arxiv",
    "version": 1
  }
}