Pith Number

pith:B2X6SSFA

pith:2017:B2X6SSFAAPFQ632LADT5O6BJ5L

not attested not anchored not stored refs pending

Sobolev Extension Operators and Neumann Eigenvalues

A. Ukhlov, V. Gol'dshtein, V. Pchelintsev

arxiv:1710.05560 v1 · 2017-10-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B2X6SSFAAPFQ632LADT5O6BJ5L}

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	2026-05-18T00:32:48.962885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eafe948a003cb0f6f4b00e7d77829eacbf92122051f21318e46bbdd866fefd8

Aliases

arxiv: 1710.05560 · arxiv_version: 1710.05560v1 · doi: 10.48550/arxiv.1710.05560 · pith_short_12: B2X6SSFAAPFQ · pith_short_16: B2X6SSFAAPFQ632L · pith_short_8: B2X6SSFA

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/B2X6SSFAAPFQ632LADT5O6BJ5L \
  | 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: 0eafe948a003cb0f6f4b00e7d77829eacbf92122051f21318e46bbdd866fefd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81174e36eacef13400ccedf2599d1ed765b05638fbe715ab98b96b1d31db589a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-16T08:34:02Z",
    "title_canon_sha256": "c3e8414abc34ba52a763efe64e676486947031439ff1fad7bad91556c2b71545"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05560",
    "kind": "arxiv",
    "version": 1
  }
}