Pith Number

pith:2LZMBRWX

pith:2012:2LZMBRWXTEZFVHKUVIB4ODMMRG

not attested not anchored not stored refs pending

Analytic continuation and high energy estimates for the resolvent of the Laplacian on forms on asymptotically hyperbolic spaces

Andr\'as Vasy

arxiv:1206.5454 v1 · 2012-06-24 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LZMBRWXTEZFVHKUVIB4ODMMRG}

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	2026-05-18T03:52:40.062976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2f2c0c6d799325a9d54aa03c70d8c899c06e26a0475231d840a8854eaad7359

Aliases

arxiv: 1206.5454 · arxiv_version: 1206.5454v1 · doi: 10.48550/arxiv.1206.5454 · pith_short_12: 2LZMBRWXTEZF · pith_short_16: 2LZMBRWXTEZFVHKU · pith_short_8: 2LZMBRWX

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/2LZMBRWXTEZFVHKUVIB4ODMMRG \
  | 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: d2f2c0c6d799325a9d54aa03c70d8c899c06e26a0475231d840a8854eaad7359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7bdcc54d7a91b8544320f8605629726821a7600c8da154978ade247d78ed20",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-24T01:14:57Z",
    "title_canon_sha256": "6acf79bf5c52cbd17373f318fa2b90809b7c261a1dde0c89a2fa03bf2179084a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5454",
    "kind": "arxiv",
    "version": 1
  }
}