Pith Number

pith:YVKWANYV

pith:2011:YVKWANYVJDUJ4SGYGWKZRVZXYR

not attested not anchored not stored refs pending

Operator identities corresponding to inverse problems

A.L. Sakhnovich, B. Fritzsche, B. Kirstein, I.Ya. Roitberg

arxiv:1106.0812 v1 · 2011-06-04 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVKWANYVJDUJ4SGYGWKZRVZXYR}

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	2026-05-18T03:39:51.784817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c55560371548e89e48d8359598d737c460fbb24b265c08475bedb624016da249

Aliases

arxiv: 1106.0812 · arxiv_version: 1106.0812v1 · doi: 10.48550/arxiv.1106.0812 · pith_short_12: YVKWANYVJDUJ · pith_short_16: YVKWANYVJDUJ4SGY · pith_short_8: YVKWANYV

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/YVKWANYVJDUJ4SGYGWKZRVZXYR \
  | 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: c55560371548e89e48d8359598d737c460fbb24b265c08475bedb624016da249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fc50b7fdee339442b3f399d85b34825b9b088fa62030c5874281ca9d7dc1220",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-04T11:12:12Z",
    "title_canon_sha256": "c758cd9762415226b202625424f75ed2bd4248b19d803e81baae337ce69d4c18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0812",
    "kind": "arxiv",
    "version": 1
  }
}