Pith Number

pith:P7HBM2JV

pith:2011:P7HBM2JVPC6IJLHI542PIHM6N3

not attested not anchored not stored refs pending

A family of anisotropic integral operators and behaviour of its maximal eigenvalue

A.V. Sobolev, B.S Mityagin

arxiv:1106.0127 v1 · 2011-06-01 · math.SP · 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{P7HBM2JVPC6IJLHI542PIHM6N3}

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	2026-05-18T03:11:09.871702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fce16693578bc84ace8ef34f41d9e6eee7c75ca3ad4fed73e291bc5011d5b11

Aliases

arxiv: 1106.0127 · arxiv_version: 1106.0127v1 · doi: 10.48550/arxiv.1106.0127 · pith_short_12: P7HBM2JVPC6I · pith_short_16: P7HBM2JVPC6IJLHI · pith_short_8: P7HBM2JV

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/P7HBM2JVPC6IJLHI542PIHM6N3 \
  | 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: 7fce16693578bc84ace8ef34f41d9e6eee7c75ca3ad4fed73e291bc5011d5b11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f399e6dc3dfa9d31913c671d05ebcbd61cd6b564c0a4379a3fbdf0b7c9c028",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-06-01T09:38:26Z",
    "title_canon_sha256": "33df232d98849c52e2ab8399af80c9bcca9baf5625cc821ed42831e2336cb40f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0127",
    "kind": "arxiv",
    "version": 1
  }
}