Pith Number

pith:5MLDTHTR

pith:2014:5MLDTHTRNGIDIW2DXHNBPVFQRZ

not attested not anchored not stored refs pending

The number of directions determined by less than $q$ points

Marcella Tak\'ats, P\'eter Sziklai, Szabolcs L. Fancsali

arxiv:1407.5638 v1 · 2014-07-21 · 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{5MLDTHTRNGIDIW2DXHNBPVFQRZ}

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	2026-05-18T02:47:06.897604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb16399e716990345b43b9da17d4b08e62b0440c213e416226d8250eab3ccbf3

Aliases

arxiv: 1407.5638 · arxiv_version: 1407.5638v1 · doi: 10.48550/arxiv.1407.5638 · pith_short_12: 5MLDTHTRNGID · pith_short_16: 5MLDTHTRNGIDIW2D · pith_short_8: 5MLDTHTR

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/5MLDTHTRNGIDIW2DXHNBPVFQRZ \
  | 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: eb16399e716990345b43b9da17d4b08e62b0440c213e416226d8250eab3ccbf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc7c84650fb7ccde6e62ce883c96196ef2fabe59c259327e8dcb660f0fa31d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-21T20:01:35Z",
    "title_canon_sha256": "05a6677e5a1b8715e70137932f633afedfe289a5ee7bdbbaa8d3953e2c6bf627"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5638",
    "kind": "arxiv",
    "version": 1
  }
}