Pith Number

pith:BEEG2BMB

pith:2012:BEEG2BMBEENIG2CK7T7JMWFQI7

not attested not anchored not stored refs pending

Towards a de Bruijn-Erd\H os theorem in the $L_1$-metric

Balazs Patkos, Ida Kantor

arxiv:1207.3688 v1 · 2012-07-16 · 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{BEEG2BMBEENIG2CK7T7JMWFQI7}

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	2026-05-18T03:50:59.790863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09086d0581211a83684afcfe9658b047d2fbed01fb7a1438aa84a36bdbee3c9e

Aliases

arxiv: 1207.3688 · arxiv_version: 1207.3688v1 · doi: 10.48550/arxiv.1207.3688 · pith_short_12: BEEG2BMBEENI · pith_short_16: BEEG2BMBEENIG2CK · pith_short_8: BEEG2BMB

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/BEEG2BMBEENIG2CK7T7JMWFQI7 \
  | 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: 09086d0581211a83684afcfe9658b047d2fbed01fb7a1438aa84a36bdbee3c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4227b22b7d6db873d012c6ace6bb38142e9ed5768ee327f268f2b7ff60f12285",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-16T14:16:07Z",
    "title_canon_sha256": "f58959820eb24a2f6b88a14407fbd3942456b65746fb4eac115ab83d72fbc08e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3688",
    "kind": "arxiv",
    "version": 1
  }
}