Pith Number

pith:7ZVN5OTK

pith:2011:7ZVN5OTKOYY26WUXR4JQDK6PPS

not attested not anchored not stored refs pending

Resolvent estimates for elliptic quadratic differential operators

Joe Viola, Johannes Sjoestrand, Michael Hitrik

arxiv:1109.4497 v1 · 2011-09-21 · math.SP · 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{7ZVN5OTKOYY26WUXR4JQDK6PPS}

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	2026-05-18T04:12:34.596502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6adeba6a7631af5a978f1301abcf7c8890baa0ac5b4c47d651911182b6cc61

Aliases

arxiv: 1109.4497 · arxiv_version: 1109.4497v1 · doi: 10.48550/arxiv.1109.4497 · pith_short_12: 7ZVN5OTKOYY2 · pith_short_16: 7ZVN5OTKOYY26WUX · pith_short_8: 7ZVN5OTK

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/7ZVN5OTKOYY26WUXR4JQDK6PPS \
  | 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: fe6adeba6a7631af5a978f1301abcf7c8890baa0ac5b4c47d651911182b6cc61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1af2a893b1689ab7c4b3ae314015a4fe401b310e870c24b454968f6a763c1f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-09-21T10:25:04Z",
    "title_canon_sha256": "631563dccc18ac9e1fe74463d0762e30d342df79051629ab218f90bc5938f814"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4497",
    "kind": "arxiv",
    "version": 1
  }
}