Pith Number

pith:5VTQCUYQ

pith:2009:5VTQCUYQWDRDUNEKTGKPEL522M

not attested not anchored not stored refs pending

Properties of distance functions on convex surfaces and applications

Jan Rataj, Ludek Zajicek

arxiv:0902.1414 v3 · 2009-02-09 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VTQCUYQWDRDUNEKTGKPEL522M}

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	2026-07-04T17:16:18.474578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed67015310b0e23a348a9994f22fbad32f6f034fb6c92d3677a1333bddea8376

Aliases

arxiv: 0902.1414 · arxiv_version: 0902.1414v3 · doi: 10.48550/arxiv.0902.1414 · pith_short_12: 5VTQCUYQWDRD · pith_short_16: 5VTQCUYQWDRDUNEK · pith_short_8: 5VTQCUYQ

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/5VTQCUYQWDRDUNEKTGKPEL522M \
  | 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: ed67015310b0e23a348a9994f22fbad32f6f034fb6c92d3677a1333bddea8376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1839818b6764694bfcfca7098a1ab7ce39ee20a8b4aba6e50fe6917e77757574",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-02-09T11:29:44Z",
    "title_canon_sha256": "1d46f47b0ff68d8dec6e5cfae7992c2996164a62f46b13ed303062a55e4dc09f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1414",
    "kind": "arxiv",
    "version": 3
  }
}