Pith Number

pith:QYEBK4G7

pith:2015:QYEBK4G7GZUIC7FE2G57XKX56U

not attested not anchored not stored refs pending

Projections of planar sets in well-separated directions

Tuomas Orponen

arxiv:1504.07189 v5 · 2015-04-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QYEBK4G7GZUIC7FE2G57XKX56U}

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	2026-05-18T01:16:37.614818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86081570df3668817ca4d1bbfbaafdf538b57789ee3d8095bcd717b63d63caad

Aliases

arxiv: 1504.07189 · arxiv_version: 1504.07189v5 · doi: 10.48550/arxiv.1504.07189 · pith_short_12: QYEBK4G7GZUI · pith_short_16: QYEBK4G7GZUIC7FE · pith_short_8: QYEBK4G7

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/QYEBK4G7GZUIC7FE2G57XKX56U \
  | 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: 86081570df3668817ca4d1bbfbaafdf538b57789ee3d8095bcd717b63d63caad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc56158d1812c671796db86ea617ae6cf3c864909293f077fed26c121e4d532",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-27T18:05:32Z",
    "title_canon_sha256": "de69c9da5dfe34553e4223645681b1cb3e31c05ab9629ee3a6e754466f57ed70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07189",
    "kind": "arxiv",
    "version": 5
  }
}