Pith Number

pith:VKRQOQQD

pith:2018:VKRQOQQDIFNI7DHGENJRLRT7U6

not attested not anchored not stored refs pending

The de Bruijn-Erd\H{o}s theorem from a Hausdorff measure point of view

Christos Pelekis, Martin Dole\v{z}al, Themis Mitsis

arxiv:1805.10980 v1 · 2018-05-28 · math.CA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKRQOQQDIFNI7DHGENJRLRT7U6}

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	2026-05-18T00:14:48.641603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aaa3074203415a8f8ce6235315c67fa7a3622d1ee7928b9d69a3934035d39adc

Aliases

arxiv: 1805.10980 · arxiv_version: 1805.10980v1 · doi: 10.48550/arxiv.1805.10980 · pith_short_12: VKRQOQQDIFNI · pith_short_16: VKRQOQQDIFNI7DHG · pith_short_8: VKRQOQQD

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/VKRQOQQDIFNI7DHGENJRLRT7U6 \
  | 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: aaa3074203415a8f8ce6235315c67fa7a3622d1ee7928b9d69a3934035d39adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8d4b0e5900f21f52bb613b680279dfd559b294b946edb0b525a1340c78fd56",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-05-28T15:39:32Z",
    "title_canon_sha256": "46ef82d1dd846ae76a3272341e1f12007573389bfbd7b2dfea9336026337b704"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.10980",
    "kind": "arxiv",
    "version": 1
  }
}