Pith Number

pith:SC5EXY7D

pith:2018:SC5EXY7DUG56C5GHFX5AUZ5FMY

not attested not anchored not stored refs pending

Almost optimal algorithms for diameter-optimally augmenting trees

Davide Bil\`o

arxiv:1809.08822 v2 · 2018-09-24 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SC5EXY7DUG56C5GHFX5AUZ5FMY}

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	2026-05-18T00:04:19.901462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90ba4be3e3a1bbe174c72dfa0a67a56608b47c732e3936cc2505987f4bd19bb4

Aliases

arxiv: 1809.08822 · arxiv_version: 1809.08822v2 · doi: 10.48550/arxiv.1809.08822 · pith_short_12: SC5EXY7DUG56 · pith_short_16: SC5EXY7DUG56C5GH · pith_short_8: SC5EXY7D

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/SC5EXY7DUG56C5GHFX5AUZ5FMY \
  | 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: 90ba4be3e3a1bbe174c72dfa0a67a56608b47c732e3936cc2505987f4bd19bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db0ed1c52b9537a0101d18af83ec85a331dd84e76666c24a6f5c582e20980aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-09-24T09:55:06Z",
    "title_canon_sha256": "95bff8f6d61b36482152b0ff5336737ca3cc9b049264f9a5746658a711ca8a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08822",
    "kind": "arxiv",
    "version": 2
  }
}