Pith Number

pith:U4S4MOFB

pith:2017:U4S4MOFBYDPLY2JIG3U6PQETZ2

not attested not anchored not stored refs pending

More Tur\'an-Type Theorems for Triangles in Convex Point Sets

Aur\'elien Ooms, Boris Aronov, Lu\'is Fernando Schultz Xavier da Silveira, Pat Morin, Vida Dujmovi\'c

arxiv:1706.10193 v3 · 2017-06-30 · math.CO · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4S4MOFBYDPLY2JIG3U6PQETZ2}

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	2026-05-17T23:58:54.735777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a725c638a1c0debc692836e9e7c093ceb15add1268541c858a4dd64eb426459b

Aliases

arxiv: 1706.10193 · arxiv_version: 1706.10193v3 · doi: 10.48550/arxiv.1706.10193 · pith_short_12: U4S4MOFBYDPL · pith_short_16: U4S4MOFBYDPLY2JI · pith_short_8: U4S4MOFB

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/U4S4MOFBYDPLY2JIG3U6PQETZ2 \
  | 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: a725c638a1c0debc692836e9e7c093ceb15add1268541c858a4dd64eb426459b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c93ddf28e724475873294951f9470fb672cd03947d641e11d670cb3b956bc3c5",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-30T13:40:11Z",
    "title_canon_sha256": "e636aff4b5199221cbd06382a2b137d6f84da142601759028118fc8495afb86a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10193",
    "kind": "arxiv",
    "version": 3
  }
}