Pith Number

pith:75L722YZ

pith:2025:75L722YZQSSJXXOJOEWOL5OUN3

not attested not anchored not stored refs pending

Lower bound of computational complexity of knapsack problems

Zhidong Zhang

arxiv:2506.12080 v1 · 2025-06-08 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75L722YZQSSJXXOJOEWOL5OUN3}

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	2026-06-05T01:14:27.368116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff57fd6b1984a49bddc9712ce5f5d46ef7aeeefccd2af151fe647ddd1f2d8e9f

Aliases

arxiv: 2506.12080 · arxiv_version: 2506.12080v1 · doi: 10.48550/arxiv.2506.12080 · pith_short_12: 75L722YZQSSJ · pith_short_16: 75L722YZQSSJXXOJ · pith_short_8: 75L722YZ

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/75L722YZQSSJXXOJOEWOL5OUN3 \
  | 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: ff57fd6b1984a49bddc9712ce5f5d46ef7aeeefccd2af151fe647ddd1f2d8e9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de82d56018968a7faef321788915f7e7b9ea3c1245a8dde58e0688be2ecd7e6f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2025-06-08T00:40:50Z",
    "title_canon_sha256": "5004feba89d341e19688ec33f9f3e9537bd8d10a4f15f7c2594559d86d527338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12080",
    "kind": "arxiv",
    "version": 1
  }
}