Pith Number

pith:MMWKACI3

pith:2025:MMWKACI3QCV2S6KVCUZH57GW7Q

not attested not anchored not stored refs pending

Higher-dimensional generalization of Youngs' theorem and circular colorings

Kengo Enami, Takahiro Matsushita

arxiv:2505.23562 v2 · 2025-05-29 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMWKACI3QCV2S6KVCUZH57GW7Q}

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	2026-06-02T03:04:32.776015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632ca0091b80aba9795515327efcd6fc20f4b235f6b670ee4ad2d14fbe0f26c2

Aliases

arxiv: 2505.23562 · arxiv_version: 2505.23562v2 · doi: 10.48550/arxiv.2505.23562 · pith_short_12: MMWKACI3QCV2 · pith_short_16: MMWKACI3QCV2S6KV · pith_short_8: MMWKACI3

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/MMWKACI3QCV2S6KVCUZH57GW7Q \
  | 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: 632ca0091b80aba9795515327efcd6fc20f4b235f6b670ee4ad2d14fbe0f26c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe6bdc69c7a53b641a2ea9e4fdcba4a58dde4a90193de26f2083fd5f860d38b6",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-29T15:37:30Z",
    "title_canon_sha256": "2ddb9e039c07c548059c2eb9f6a62d948b4539fa8bb53c2bcd01976fd50c21b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.23562",
    "kind": "arxiv",
    "version": 2
  }
}