Pith Number

pith:V43TZRDN

pith:2011:V43TZRDN6QKBIDCEGDHTPNKMEQ

not attested not anchored not stored refs pending

Unit Distances in Three Dimensions

Haim Kaplan, Jiri Matousek, Micha Sharir, Zuzana Safernova

arxiv:1107.1077 v1 · 2011-07-06 · 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{V43TZRDN6QKBIDCEGDHTPNKMEQ}

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	2026-05-18T04:18:45.676567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af373cc46df414140c4430cf37b54c2420da367f2e4aefcbcf654933d8e9cdfa

Aliases

arxiv: 1107.1077 · arxiv_version: 1107.1077v1 · doi: 10.48550/arxiv.1107.1077 · pith_short_12: V43TZRDN6QKB · pith_short_16: V43TZRDN6QKBIDCE · pith_short_8: V43TZRDN

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/V43TZRDN6QKBIDCEGDHTPNKMEQ \
  | 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: af373cc46df414140c4430cf37b54c2420da367f2e4aefcbcf654933d8e9cdfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02cade08b1b0aab3107a3b52dbd5938b52c6143bf1164d98fe3a38d52450e4f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-06T09:51:00Z",
    "title_canon_sha256": "9aed588dcbdc8f72fbed6e76bdf64d7db39e8d0f24b1cdbdbddc97d8af851970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1077",
    "kind": "arxiv",
    "version": 1
  }
}