Pith Number

pith:ZZ3D5GT3

pith:2013:ZZ3D5GT32XPVQ7BGO5CURSUFNF

not attested not anchored not stored refs pending

Vitushkin-type theorems

Omer Friedland, Yosef Yomdin

arxiv:1302.5373 v1 · 2013-02-21 · 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{ZZ3D5GT32XPVQ7BGO5CURSUFNF}

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	2026-05-18T03:32:57.834429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce763e9a7bd5df587c26774548ca856959294bd411fd8c8bf3ca4d799c936385

Aliases

arxiv: 1302.5373 · arxiv_version: 1302.5373v1 · doi: 10.48550/arxiv.1302.5373 · pith_short_12: ZZ3D5GT32XPV · pith_short_16: ZZ3D5GT32XPVQ7BG · pith_short_8: ZZ3D5GT3

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/ZZ3D5GT32XPVQ7BGO5CURSUFNF \
  | 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: ce763e9a7bd5df587c26774548ca856959294bd411fd8c8bf3ca4d799c936385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac9d125c683df86ee224bd1a91558e0e9f4d3128ff5c855dd261994c0a052f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-21T18:56:31Z",
    "title_canon_sha256": "275b92ecebc6747af030f087ef4947b5171469a5ec49110cabfcb3867bb21ef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5373",
    "kind": "arxiv",
    "version": 1
  }
}