Pith Number

pith:UH2NRC4A

pith:2017:UH2NRC4AXO3GJPETWKHT5U4CFO

not attested not anchored not stored refs pending

New Bounds on the Biplanar Crossing Number of Low-dimensional Hypercubes

Gregory Clark, Gwen Spencer

arxiv:1711.01194 v1 · 2017-11-03 · 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{UH2NRC4AXO3GJPETWKHT5U4CFO}

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	2026-05-18T00:31:23.208788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1f4d88b80bbb664bc93b28f3ed3822babfa044d0830cb01496ce60b69203e46

Aliases

arxiv: 1711.01194 · arxiv_version: 1711.01194v1 · doi: 10.48550/arxiv.1711.01194 · pith_short_12: UH2NRC4AXO3G · pith_short_16: UH2NRC4AXO3GJPET · pith_short_8: UH2NRC4A

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/UH2NRC4AXO3GJPETWKHT5U4CFO \
  | 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: a1f4d88b80bbb664bc93b28f3ed3822babfa044d0830cb01496ce60b69203e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4015aa0f9a7ed855ced9ffad527369bab60f92bae33228a1a1abb563cc737b62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-03T14:53:28Z",
    "title_canon_sha256": "3ffd101d57eb111e89acea1f2def6837cc97041bb65f65d13a59c2c031e35cd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01194",
    "kind": "arxiv",
    "version": 1
  }
}