Pith Number

pith:62RBFVKG

pith:2013:62RBFVKGLQNTU2TYPW5KHMYIG7

not attested not anchored not stored refs pending

Distinct distances on two lines

Adam Sheffer, J\'ozsef Solymosi, Micha Sharir

arxiv:1302.3081 v2 · 2013-02-13 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62RBFVKGLQNTU2TYPW5KHMYIG7}

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	2026-05-18T03:22:05.516566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6a212d5465c1b3a6a787dbaa3b30837d32a4fc08b65134dd6b11e76bd09471a

Aliases

arxiv: 1302.3081 · arxiv_version: 1302.3081v2 · doi: 10.48550/arxiv.1302.3081 · pith_short_12: 62RBFVKGLQNT · pith_short_16: 62RBFVKGLQNTU2TY · pith_short_8: 62RBFVKG

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/62RBFVKGLQNTU2TYPW5KHMYIG7 \
  | 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: f6a212d5465c1b3a6a787dbaa3b30837d32a4fc08b65134dd6b11e76bd09471a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e40c4364d3713889786f91304ae04281dcb63544f35235f91503a1cc5801bb",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-13T13:33:12Z",
    "title_canon_sha256": "588d26545beac397947e1540bf3adaa5af2cb0052d6d6d2f82e7e08117d952aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3081",
    "kind": "arxiv",
    "version": 2
  }
}