Pith Number

pith:YSDLQ4L4

pith:2012:YSDLQ4L4KOL64KIMWLQEXF3G6P

not attested not anchored not stored refs pending

Eigenvalue estimates for non-selfadjoint Dirac operators on the real line

Ari Laptev, Christiane Tretter, Jean-Claude Cuenin

arxiv:1207.6584 v1 · 2012-07-27 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSDLQ4L4KOL64KIMWLQEXF3G6P}

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	2026-05-18T02:54:56.519899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c486b8717c5397ee290cb2e04b9766f3c142c8900008cb12fb64f78a1657b1a3

Aliases

arxiv: 1207.6584 · arxiv_version: 1207.6584v1 · doi: 10.48550/arxiv.1207.6584 · pith_short_12: YSDLQ4L4KOL6 · pith_short_16: YSDLQ4L4KOL64KIM · pith_short_8: YSDLQ4L4

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/YSDLQ4L4KOL64KIMWLQEXF3G6P \
  | 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: c486b8717c5397ee290cb2e04b9766f3c142c8900008cb12fb64f78a1657b1a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c4011868f37f686905e2f5b94beeacb1cdf13f7ad03bdc58e44bc1e416e5ec9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-07-27T15:58:57Z",
    "title_canon_sha256": "e1d64039b06bbe57d9ab092bd92c0b05fc5c9e8f096d1b7cf23d19a58899a5ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6584",
    "kind": "arxiv",
    "version": 1
  }
}