Pith Number

pith:WKX7YHZS

pith:2026:WKX7YHZS7KSV26YEIAFGFU6MMI

not attested not anchored not stored refs pending

On orderability and the chord conjecture

Egor Shelukhin

arxiv:2608.10493 v1 · 2026-08-11 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKX7YHZS7KSV26YEIAFGFU6MMI}

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	2026-08-12T01:22:35.858998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2affc1f32faa55d7b04400a62d3cc621e9f615280007c8f0b9bb853769e1ef2

Aliases

arxiv: 2608.10493 · arxiv_version: 2608.10493v1 · doi: 10.48550/arxiv.2608.10493 · pith_short_12: WKX7YHZS7KSV · pith_short_16: WKX7YHZS7KSV26YE · pith_short_8: WKX7YHZS

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/WKX7YHZS7KSV26YEIAFGFU6MMI \
  | 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: b2affc1f32faa55d7b04400a62d3cc621e9f615280007c8f0b9bb853769e1ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "589b0a63853273f84e86f92b071c7306ab03b939ec7602731691687f4465b7be",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-08-11T05:10:52Z",
    "title_canon_sha256": "f82861a8117f04c2e03d9b3efc4d797797ea7d59dd1fe600bb9e655c3f3ab4dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10493",
    "kind": "arxiv",
    "version": 1
  }
}