Pith Number

pith:7OQZBLLX

pith:2021:7OQZBLLXTOHU52XKMQKOCLP23Z

not attested not anchored not stored refs pending

A Sparse colorful polytopal KKM Theorem

Daniel McGinnis, Shira Zerbib

arxiv:2112.14421 v1 · 2021-12-29 · 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{7OQZBLLXTOHU52XKMQKOCLP23Z}

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	2026-07-05T03:44:22.028199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fba190ad779b8f4eeaea6414e12dfade6b9813aa5877126e64cfbea8efe9a360

Aliases

arxiv: 2112.14421 · arxiv_version: 2112.14421v1 · doi: 10.48550/arxiv.2112.14421 · pith_short_12: 7OQZBLLXTOHU · pith_short_16: 7OQZBLLXTOHU52XK · pith_short_8: 7OQZBLLX

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/7OQZBLLXTOHU52XKMQKOCLP23Z \
  | 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: fba190ad779b8f4eeaea6414e12dfade6b9813aa5877126e64cfbea8efe9a360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0add5234645d5da78612762a83c921122943cafa4955d5da74f7e47746c0ac98",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-12-29T06:57:56Z",
    "title_canon_sha256": "efdb91b1b834f83ad38ca71f75fe4c02800d40283c6363974073149bbb50d9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14421",
    "kind": "arxiv",
    "version": 1
  }
}