pith. sign in
Pith Number

pith:PAJBB7ZH

pith:2015:PAJBB7ZHMMIHL2OSSJ5QBU2FCU
not attested not anchored not stored refs pending

Spectrally Optimized Pointset Configurations

Braxton Osting, Jeremy L. Marzuola

arxiv:1511.01185 v2 · 2015-11-04 · math.SP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PAJBB7ZHMMIHL2OSSJ5QBU2FCU}

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 2026-05-18T01:12:12.995618Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

781210ff27631075e9d2927b00d3451536ab4908fc841c40f22b76154ba4d9d2

Aliases

arxiv: 1511.01185 · arxiv_version: 1511.01185v2 · doi: 10.48550/arxiv.1511.01185 · pith_short_12: PAJBB7ZHMMIH · pith_short_16: PAJBB7ZHMMIHL2OS · pith_short_8: PAJBB7ZH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PAJBB7ZHMMIHL2OSSJ5QBU2FCU \
  | 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: 781210ff27631075e9d2927b00d3451536ab4908fc841c40f22b76154ba4d9d2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2122449ec13befd1f7652111d867922ecf0346b058528f1273f91abd9300329e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-04T02:16:25Z",
    "title_canon_sha256": "e8a6f5242621843fb838378814aff291160d7b246a8bcbdf11380be02c245af6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01185",
    "kind": "arxiv",
    "version": 2
  }
}