Pith Number

pith:AXL424ZY

pith:2013:AXL424ZYCI22SQWOTDU3ZXEEWX

not attested not anchored not stored refs pending

Foward the theory of Sobolev's mappings on the plane

R. Salimov

arxiv:1302.7022 v1 · 2013-02-27 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXL424ZYCI22SQWOTDU3ZXEEWX}

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	2026-05-18T03:32:17.684935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d7cd73381235a942ce98e9bcdc84b5d854bbfc0e5fe35f468b15f7e0916b5e

Aliases

arxiv: 1302.7022 · arxiv_version: 1302.7022v1 · doi: 10.48550/arxiv.1302.7022 · pith_short_12: AXL424ZYCI22 · pith_short_16: AXL424ZYCI22SQWO · pith_short_8: AXL424ZY

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/AXL424ZYCI22SQWOTDU3ZXEEWX \
  | 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: 05d7cd73381235a942ce98e9bcdc84b5d854bbfc0e5fe35f468b15f7e0916b5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e6b63df48fc3b3dbece9b9045dc584d0c3300df6baef9add736b6060ec0399",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-02-27T22:54:45Z",
    "title_canon_sha256": "8ffff080902fb2a8a70c12d39b48a002de79684a0261ac1c1333c0f7f877602a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7022",
    "kind": "arxiv",
    "version": 1
  }
}