Pith Number

pith:5GVALUTO

pith:2011:5GVALUTOOTSOPQIIFF3U4EHUSJ

not attested not anchored not stored refs pending

The crossing number of cubes with small order

Guoqing Wang, Haoli Wang, Yuansheng Yang

arxiv:1102.3483 v2 · 2011-02-17 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GVALUTOOTSOPQIIFF3U4EHUSJ}

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	2026-05-18T03:11:22.305051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9aa05d26e74e4e7c10829774e10f492672ddb35203b95a44b3d1574ccefacf4

Aliases

arxiv: 1102.3483 · arxiv_version: 1102.3483v2 · doi: 10.48550/arxiv.1102.3483 · pith_short_12: 5GVALUTOOTSO · pith_short_16: 5GVALUTOOTSOPQII · pith_short_8: 5GVALUTO

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/5GVALUTOOTSOPQIIFF3U4EHUSJ \
  | 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: e9aa05d26e74e4e7c10829774e10f492672ddb35203b95a44b3d1574ccefacf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71509857ef917333901a80dbd867150e3d868829b98df528ee9b0e546236a17d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-17T03:10:57Z",
    "title_canon_sha256": "1b9ef9cbc317dd8cd9e8748730fadd3b2a6b2fd08c63cd7a38578087e31da625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3483",
    "kind": "arxiv",
    "version": 2
  }
}