Pith Number

pith:KRBYBIUT

pith:2010:KRBYBIUTKVWSQBH633MC5MN5NV

not attested not anchored not stored refs pending

Restriction and spectral multiplier theorems on asymptotically conic manifolds

Adam Sikora, Andrew Hassell, Colin Guillarmou

arxiv:1012.3780 v2 · 2010-12-16 · math.AP · math.CA · 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{KRBYBIUTKVWSQBH633MC5MN5NV}

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	2026-05-18T03:56:36.413710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

544380a293556d2804feded82eb1bd6d6508b89ce3c878d8a93f3ba2d0c3251d

Aliases

arxiv: 1012.3780 · arxiv_version: 1012.3780v2 · doi: 10.48550/arxiv.1012.3780 · pith_short_12: KRBYBIUTKVWS · pith_short_16: KRBYBIUTKVWSQBH6 · pith_short_8: KRBYBIUT

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/KRBYBIUTKVWSQBH633MC5MN5NV \
  | 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: 544380a293556d2804feded82eb1bd6d6508b89ce3c878d8a93f3ba2d0c3251d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d00e9d306c958988c7e546a0f623ccb297b6c5eedb58155e9be1dc54506245f",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-16T23:26:29Z",
    "title_canon_sha256": "182adf9497ff12db751d2cda8a1f0f8f35ea85827dd50e677b5ed995bcee6fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3780",
    "kind": "arxiv",
    "version": 2
  }
}