Pith Number

pith:CKBI5YYX

pith:2014:CKBI5YYXEA4TPCSUEEFSE67TIB

not attested not anchored not stored refs pending

On the stability of the index of unbounded nonlocal operators in Sobolev spaces

Pavel Gurevich

arxiv:1404.6900 v1 · 2014-04-28 · 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{CKBI5YYXEA4TPCSUEEFSE67TIB}

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	2026-05-18T02:53:05.617935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12828ee3172039378a54210b227bf34077c440660e8c8eee4030b4543e64ffc0

Aliases

arxiv: 1404.6900 · arxiv_version: 1404.6900v1 · doi: 10.48550/arxiv.1404.6900 · pith_short_12: CKBI5YYXEA4T · pith_short_16: CKBI5YYXEA4TPCSU · pith_short_8: CKBI5YYX

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/CKBI5YYXEA4TPCSUEEFSE67TIB \
  | 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: 12828ee3172039378a54210b227bf34077c440660e8c8eee4030b4543e64ffc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50319ce6ceeaf3ee3a8b4183b3572c20a5955593820ac52201c0b814fa41d1f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-04-28T08:42:49Z",
    "title_canon_sha256": "95a5489ea2185afc7c018775aa017aefb7ca69fa928697228412f6734919a4d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6900",
    "kind": "arxiv",
    "version": 1
  }
}