Pith Number

pith:XTAECMYY

pith:2025:XTAECMYYRS42AZNDQJQNG574HU

not attested not anchored not stored refs pending

Sharp-Peak Functions for Exactly Penalizing Binary Integer Programming

Hui Zhang, Shenglong Zhou, Shuai Li, Ziyan Luo

arxiv:2509.00895 v2 · 2025-08-31 · 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{XTAECMYYRS42AZNDQJQNG574HU}

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	2026-05-18T02:45:13.018655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc04133188cb9a065a38260d377fc3d341468c0deffce9545246306b499b3e3

Aliases

arxiv: 2509.00895 · arxiv_version: 2509.00895v2 · doi: 10.48550/arxiv.2509.00895 · pith_short_12: XTAECMYYRS42 · pith_short_16: XTAECMYYRS42AZND · pith_short_8: XTAECMYY

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/XTAECMYYRS42AZNDQJQNG574HU \
  | 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: bcc04133188cb9a065a38260d377fc3d341468c0deffce9545246306b499b3e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25eb968239fee2cb026960af12eefe68d4f4a152e82dff6d82530ec0d4530aac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-31T15:18:30Z",
    "title_canon_sha256": "2b80154d6293a1fd228e8a3ecc8d5df5b19b3addb876ee5bc78b2e11aa3333cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00895",
    "kind": "arxiv",
    "version": 2
  }
}