Pith Number

pith:4VMVHM6L

pith:2011:4VMVHM6LS2UPFQ4PCMNISP4JVE

not attested not anchored not stored refs pending

The crossing number of folded hypercubes

Guoqing Wang, Haoli Wang, Wenping Zheng, Yan Zhou, Yuansheng Yang

arxiv:1101.3386 v1 · 2011-01-18 · 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{4VMVHM6LS2UPFQ4PCMNISP4JVE}

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	2026-05-18T02:22:51.817866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e55953b3cb96a8f2c38f131a893f89a90cb58a873ba21ffe123276582e791ba7

Aliases

arxiv: 1101.3386 · arxiv_version: 1101.3386v1 · doi: 10.48550/arxiv.1101.3386 · pith_short_12: 4VMVHM6LS2UP · pith_short_16: 4VMVHM6LS2UPFQ4P · pith_short_8: 4VMVHM6L

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/4VMVHM6LS2UPFQ4PCMNISP4JVE \
  | 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: e55953b3cb96a8f2c38f131a893f89a90cb58a873ba21ffe123276582e791ba7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15ebbe3e7e4ea96ea7fd5ec58abfb8b568a0769f47efeffe51f120cc11340632",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-18T05:52:00Z",
    "title_canon_sha256": "9f952b942cf6340659fe9b3964ae4dc56861003014d4a98a9690a34f67e191b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3386",
    "kind": "arxiv",
    "version": 1
  }
}