Pith Number

pith:L4WDEBJH

pith:2011:L4WDEBJHUKFMZWTYVE7EQ22JCK

not attested not anchored not stored refs pending

Microlocal analysis of asymptotically hyperbolic spaces and high energy resolvent estimates

Andras Vasy

arxiv:1104.1376 v2 · 2011-04-07 · math.AP · math-ph · math.DG · 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{L4WDEBJHUKFMZWTYVE7EQ22JCK}

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	2026-05-18T04:20:14.182601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2c320527a28accda78a93e486b4912bb62dd91c15e4ff2e6a59c7ad19e9542

Aliases

arxiv: 1104.1376 · arxiv_version: 1104.1376v2 · doi: 10.48550/arxiv.1104.1376 · pith_short_12: L4WDEBJHUKFM · pith_short_16: L4WDEBJHUKFMZWTY · pith_short_8: L4WDEBJH

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/L4WDEBJHUKFMZWTYVE7EQ22JCK \
  | 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: 5f2c320527a28accda78a93e486b4912bb62dd91c15e4ff2e6a59c7ad19e9542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de81d921c4af39b59ab9dfc1f4363fb6c67c58301c809dcb6f48b369afde4fd6",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-07T16:38:30Z",
    "title_canon_sha256": "2d9446431708e8a1ac125c03f87fd7e79e74784d5e8cc3780d974763b9c14df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1376",
    "kind": "arxiv",
    "version": 2
  }
}