Pith Number

pith:UHCRTPZN

pith:2012:UHCRTPZNEWIF3TYFBBXQIDJZHM

not attested not anchored not stored refs pending

Convergence and compactness of the Sobolev mappings

Evgeny Sevostyanov, Ruslan Salimov, Vladimir Ryazanov

arxiv:1208.1687 v3 · 2012-08-08 · 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{UHCRTPZNEWIF3TYFBBXQIDJZHM}

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	2026-05-18T03:45:31.405494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1c519bf2d25905dcf05086f040d393b3cb21c959734399cc6222ba1eb8ed06e

Aliases

arxiv: 1208.1687 · arxiv_version: 1208.1687v3 · doi: 10.48550/arxiv.1208.1687 · pith_short_12: UHCRTPZNEWIF · pith_short_16: UHCRTPZNEWIF3TYF · pith_short_8: UHCRTPZN

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/UHCRTPZNEWIF3TYFBBXQIDJZHM \
  | 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: a1c519bf2d25905dcf05086f040d393b3cb21c959734399cc6222ba1eb8ed06e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e9786db4c6503f30e265d170b4e4efe38cea8a11a7e5af578dbed64cf9f167b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-08-08T15:17:17Z",
    "title_canon_sha256": "fc9f11aa0797325aa50cc31d150ac45ac9d29494ae8858ffa30c1d631a462c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1687",
    "kind": "arxiv",
    "version": 3
  }
}