Pith Number

pith:BXV3MEYU

pith:2013:BXV3MEYUKONQOA54IAB3NL2HPI

not attested not anchored not stored refs pending

Singular Bohr-Sommerfeld conditions for 1D Toeplitz operators: hyperbolic case

Yohann Le Floch (IRMAR)

arxiv:1309.5322 v1 · 2013-09-20 · math.SP · math-ph · math.AP · 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{BXV3MEYUKONQOA54IAB3NL2HPI}

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	2026-05-18T01:22:24.889007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0debb61314539b0703bc4003b6af477a3ec2d86e21aa9739af5a270fcbc65e7e

Aliases

arxiv: 1309.5322 · arxiv_version: 1309.5322v1 · doi: 10.48550/arxiv.1309.5322 · pith_short_12: BXV3MEYUKONQ · pith_short_16: BXV3MEYUKONQOA54 · pith_short_8: BXV3MEYU

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/BXV3MEYUKONQOA54IAB3NL2HPI \
  | 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: 0debb61314539b0703bc4003b6af477a3ec2d86e21aa9739af5a270fcbc65e7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "545628405c9a3a2f86a725be05da031db239af73503d5aa61c152423a2adf675",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-09-20T16:51:32Z",
    "title_canon_sha256": "1e2445ad22be1b39f394756b67e7f3b0479d716aab478bdd18f2a96b2066085e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5322",
    "kind": "arxiv",
    "version": 1
  }
}