Pith Number

pith:CKSXQJ2A

pith:2017:CKSXQJ2AOYRQZ7TBKYWBGIP7BY

not attested not anchored not stored refs pending

Approximate Convex Hull of Data Streams

Ananya Kumar, Avrim Blum, Harry Lang, Lin F. Yang, Vladimir Braverman

arxiv:1712.04564 v2 · 2017-12-12 · 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{CKSXQJ2AOYRQZ7TBKYWBGIP7BY}

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	2026-05-18T00:28:01.445988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a578274076230cfe61562c1321ff0e17c4028928f9ae8a519d6102dd231e68

Aliases

arxiv: 1712.04564 · arxiv_version: 1712.04564v2 · doi: 10.48550/arxiv.1712.04564 · pith_short_12: CKSXQJ2AOYRQ · pith_short_16: CKSXQJ2AOYRQZ7TB · pith_short_8: CKSXQJ2A

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/CKSXQJ2AOYRQZ7TBKYWBGIP7BY \
  | 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: 12a578274076230cfe61562c1321ff0e17c4028928f9ae8a519d6102dd231e68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9cf30d1967856d7669e6208ae0f3e01e70f9e0dbd4deb2b031f91b2f728fada",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2017-12-12T23:05:32Z",
    "title_canon_sha256": "588e00ee0e66559e68e6af5ebcbd8ebfb30f92b6cfbbd12d4ce3a231ff078dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04564",
    "kind": "arxiv",
    "version": 2
  }
}