Pith Number

pith:O34DFHUV

pith:2017:O34DFHUVIH6Z6UV2KHWFTVKFPE

not attested not anchored not stored refs pending

Controlling Lipschitz functions

Andrey Kupavskii, Gabor Tardos, Janos Pach

arxiv:1704.03062 v2 · 2017-04-10 · math.FA · cs.DM · math.CO · 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{O34DFHUVIH6Z6UV2KHWFTVKFPE}

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	2026-05-18T00:08:46.500705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f8329e9541fd9f52ba51ec59d5457926801f70a3ce5329965cd71ebc18b340

Aliases

arxiv: 1704.03062 · arxiv_version: 1704.03062v2 · doi: 10.48550/arxiv.1704.03062 · pith_short_12: O34DFHUVIH6Z · pith_short_16: O34DFHUVIH6Z6UV2 · pith_short_8: O34DFHUV

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/O34DFHUVIH6Z6UV2KHWFTVKFPE \
  | 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: 76f8329e9541fd9f52ba51ec59d5457926801f70a3ce5329965cd71ebc18b340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b8caf400ed5f71db74126dc73668885de512cee5183df0b55daa074d532e651",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-10T21:49:16Z",
    "title_canon_sha256": "7a51b9dce3142160e9b0d562c8c68da955b916485f35ef5466f184eb60dd58df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.03062",
    "kind": "arxiv",
    "version": 2
  }
}