Pith Number

pith:B6UFGOTQ

pith:2010:B6UFGOTQIAMLXWRL4OQXYTRGKY

not attested not anchored not stored refs pending

Resolvent estimates for normally hyperbolic trapped sets

Jared Wunsch, Maciej Zworski

arxiv:1003.4640 v7 · 2010-03-24 · 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{B6UFGOTQIAMLXWRL4OQXYTRGKY}

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	2026-05-18T02:08:23.599061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fa8533a704018bbda2be3a17c4e26563bc38a97566a962d921631bbf94d79e3

Aliases

arxiv: 1003.4640 · arxiv_version: 1003.4640v7 · doi: 10.48550/arxiv.1003.4640 · pith_short_12: B6UFGOTQIAML · pith_short_16: B6UFGOTQIAMLXWRL · pith_short_8: B6UFGOTQ

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/B6UFGOTQIAMLXWRL4OQXYTRGKY \
  | 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: 0fa8533a704018bbda2be3a17c4e26563bc38a97566a962d921631bbf94d79e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "801120b8f1cacbe35e30a3c079558a3004f95bea71d79459e46154e55e3b9960",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-24T13:43:08Z",
    "title_canon_sha256": "5c11c7bcd7e2fcd1c056308570c5903a4d01f4a8301c9c91e8785e99a96ec16a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4640",
    "kind": "arxiv",
    "version": 7
  }
}