Pith Number

pith:EVP2G6KD

pith:2018:EVP2G6KDJGZMY3EAI74XDWXZPO

not attested not anchored not stored refs pending

Sobolev functions on closed subsets of the real line: long version

Pavel Shvartsman

arxiv:1808.01467 v2 · 2018-08-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVP2G6KDJGZMY3EAI74XDWXZPO}

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	2026-05-17T23:57:57.264831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

255fa3794349b2cc6c8047f971daf97bb9ffc2e7389e71f0a568158ddf8cf7d2

Aliases

arxiv: 1808.01467 · arxiv_version: 1808.01467v2 · doi: 10.48550/arxiv.1808.01467 · pith_short_12: EVP2G6KDJGZM · pith_short_16: EVP2G6KDJGZMY3EA · pith_short_8: EVP2G6KD

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/EVP2G6KDJGZMY3EAI74XDWXZPO \
  | 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: 255fa3794349b2cc6c8047f971daf97bb9ffc2e7389e71f0a568158ddf8cf7d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "789ea889de7a49891553a71ba6457090f5c0bd0768855e3dcf702e7558895120",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-08-04T11:03:50Z",
    "title_canon_sha256": "928f6886078a790b8c449b19d31dfdab114f36ec7d764e6fba4d3bf60ae3893d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01467",
    "kind": "arxiv",
    "version": 2
  }
}