Pith Number

pith:NAHWDPHE

pith:2013:NAHWDPHEYUFILDFF3LYJ6TH6V7

not attested not anchored not stored refs pending

Distinct distances from three points

Jozsef Solymosi, Micha Sharir

arxiv:1308.0814 v1 · 2013-08-04 · 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{NAHWDPHEYUFILDFF3LYJ6TH6V7}

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	2026-05-17T23:53:35.435976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680f61bce4c50a858ca5daf09f4cfeafd35249c2ea0383bf879586584ea405c6

Aliases

arxiv: 1308.0814 · arxiv_version: 1308.0814v1 · doi: 10.48550/arxiv.1308.0814 · pith_short_12: NAHWDPHEYUFI · pith_short_16: NAHWDPHEYUFILDFF · pith_short_8: NAHWDPHE

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/NAHWDPHEYUFILDFF3LYJ6TH6V7 \
  | 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: 680f61bce4c50a858ca5daf09f4cfeafd35249c2ea0383bf879586584ea405c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2256d72b5ab13f9fade6c627326854f126ea3dbf15a0c75c0ad0251941d70265",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-04T14:28:15Z",
    "title_canon_sha256": "d1fa147336e32761d4b2a9ef43d6bcefb09429d26f2fd22613a53f7e2db03476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0814",
    "kind": "arxiv",
    "version": 1
  }
}