Pith Number

pith:TIMED4QP

pith:2021:TIMED4QPUTYX4XRF6ZAROSJ75O

not attested not anchored not stored refs pending

Set characterizations and convex extensions for geometric convex-hull proofs

Andreas B\"armann, Oskar Schneider

arxiv:2101.09267 v1 · 2021-01-22 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIMED4QPUTYX4XRF6ZAROSJ75O}

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	2026-07-05T03:14:33.238465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1841f20fa4f17e5e25f64117493feb913c7ac815ff007f6bb19f37900ac862

Aliases

arxiv: 2101.09267 · arxiv_version: 2101.09267v1 · doi: 10.48550/arxiv.2101.09267 · pith_short_12: TIMED4QPUTYX · pith_short_16: TIMED4QPUTYX4XRF · pith_short_8: TIMED4QP

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/TIMED4QPUTYX4XRF6ZAROSJ75O \
  | 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: 9a1841f20fa4f17e5e25f64117493feb913c7ac815ff007f6bb19f37900ac862

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ea71ed2539e15c1fdb6f13e4ce0cbcf103079a780a6ef6b79bf56a3c705e15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-01-22T18:39:29Z",
    "title_canon_sha256": "0319d2cb010ea1fd2efd05b9873eda98dc18cc880ac8be959cdfed0bc82f1b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09267",
    "kind": "arxiv",
    "version": 1
  }
}