Pith Number

pith:XO3UQMPX

pith:2014:XO3UQMPXYAXFHTQGQLVQSDHSIP

not attested not anchored not stored refs pending

A lower bound on opaque sets

Akitoshi Kawamura, J\'anos Pach, Sonoko Moriyama, Yota Otachi

arxiv:1403.3894 v2 · 2014-03-16 · 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{XO3UQMPXYAXFHTQGQLVQSDHSIP}

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	2026-05-18T02:54:30.199454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb74831f7c02e53ce0682eb090cf243f4162dc150506fe671d1fb9b43457015

Aliases

arxiv: 1403.3894 · arxiv_version: 1403.3894v2 · doi: 10.48550/arxiv.1403.3894 · pith_short_12: XO3UQMPXYAXF · pith_short_16: XO3UQMPXYAXFHTQG · pith_short_8: XO3UQMPX

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/XO3UQMPXYAXFHTQGQLVQSDHSIP \
  | 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: bbb74831f7c02e53ce0682eb090cf243f4162dc150506fe671d1fb9b43457015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64401c5146e0f5e48485b138bb3c3b34c36ef403d63a1eced27d6ee9c26c9dbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2014-03-16T09:44:41Z",
    "title_canon_sha256": "ee9cc557a3ce88b9aaf5d3b44713eefbcdacd8b68813ebdf9502daf230c61984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3894",
    "kind": "arxiv",
    "version": 2
  }
}