Pith Number

pith:TGENY5ZP

pith:2017:TGENY5ZPUN5RFDUO2EAWY72Q66

not attested not anchored not stored refs pending

A multi-parameter variant of the Erd\H{o}s distance problem

Alex Iosevich, Jonathan Passant, Maria Janczak

arxiv:1712.04060 v1 · 2017-12-11 · 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{TGENY5ZPUN5RFDUO2EAWY72Q66}

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	2026-05-18T00:28:09.348219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9988dc772fa37b128e8ed1016c7f50f78dd35acfd0c64df666e6309ca565e3dc

Aliases

arxiv: 1712.04060 · arxiv_version: 1712.04060v1 · doi: 10.48550/arxiv.1712.04060 · pith_short_12: TGENY5ZPUN5R · pith_short_16: TGENY5ZPUN5RFDUO · pith_short_8: TGENY5ZP

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/TGENY5ZPUN5RFDUO2EAWY72Q66 \
  | 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: 9988dc772fa37b128e8ed1016c7f50f78dd35acfd0c64df666e6309ca565e3dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca0002139b10f7af399a57bc000a3774bf5ffb2a33c07f1d8b8c538a084733c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-11T22:49:07Z",
    "title_canon_sha256": "4bdd8c8e1963efd6197337deee2c3cdad8bac23f3b823dc92659ba3ef04e0e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04060",
    "kind": "arxiv",
    "version": 1
  }
}