Pith Number

pith:2U24WQ3V

pith:2015:2U24WQ3VGYFSPZFMOZH56L7M5B

not attested not anchored not stored refs pending

Lower bounds on the dilation of plane spanners

Adrian Dumitrescu, Anirban Ghosh

arxiv:1509.07181 v4 · 2015-09-23 · cs.CG · 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{2U24WQ3VGYFSPZFMOZH56L7M5B}

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	2026-05-18T01:16:29.553482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d535cb4375360b27e4ac764fdf2fece860730929f78d957521c6c62b0b9ee5d2

Aliases

arxiv: 1509.07181 · arxiv_version: 1509.07181v4 · doi: 10.48550/arxiv.1509.07181 · pith_short_12: 2U24WQ3VGYFS · pith_short_16: 2U24WQ3VGYFSPZFM · pith_short_8: 2U24WQ3V

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/2U24WQ3VGYFSPZFMOZH56L7M5B \
  | 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: d535cb4375360b27e4ac764fdf2fece860730929f78d957521c6c62b0b9ee5d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2ac122d9634ceb5a6378e3b557f53b30777e01a2f3f31387a430b31b1f8cebf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2015-09-23T23:42:00Z",
    "title_canon_sha256": "4554aa4af7b37d26a538600857042bb73d03b54a5fcc17a9b1cf2694912eefef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07181",
    "kind": "arxiv",
    "version": 4
  }
}