Pith Number

pith:VE72I7X5

pith:2017:VE72I7X5PIEGL7QWZVHV3AJDPR

not attested not anchored not stored refs pending

Sign patterns that require $\mathbb{H}_n$ exist for each $n\geq 4$

Lihua Zhang, Wei Gao, Zhongshan Li

arxiv:1710.08955 v1 · 2017-10-24 · 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{VE72I7X5PIEGL7QWZVHV3AJDPR}

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	2026-05-18T00:32:00.689198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a93fa47efd7a0865fe16cd4f5d81237c5bf960c3f558c1a66fe069bc0679ba62

Aliases

arxiv: 1710.08955 · arxiv_version: 1710.08955v1 · doi: 10.48550/arxiv.1710.08955 · pith_short_12: VE72I7X5PIEG · pith_short_16: VE72I7X5PIEGL7QW · pith_short_8: VE72I7X5

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/VE72I7X5PIEGL7QWZVHV3AJDPR \
  | 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: a93fa47efd7a0865fe16cd4f5d81237c5bf960c3f558c1a66fe069bc0679ba62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e4ebcb4aaf51b8b0085c4132599a88797cf561148547f4287af403f173b5477",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-24T19:12:49Z",
    "title_canon_sha256": "219ec8d5a6acbd2740ddc368eb6f0d84b6e9120962ee46a2b71a60b3a24b2e6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08955",
    "kind": "arxiv",
    "version": 1
  }
}