Pith Number

pith:UJGOEPWM

pith:2024:UJGOEPWMUWPFIVT3GH6HZVGMC4

not attested not anchored not stored refs pending

Using the KKM theorem

Daniel McGinnis, Shira Zerbib

arxiv:2408.03921 v1 · 2024-08-07 · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJGOEPWMUWPFIVT3GH6HZVGMC4}

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	2026-07-05T08:53:12.953848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24ce23ecca59e54567b31fc7cd4cc172073aec9f1049c32fabbe66b4bc3acb1

Aliases

arxiv: 2408.03921 · arxiv_version: 2408.03921v1 · doi: 10.48550/arxiv.2408.03921 · pith_short_12: UJGOEPWMUWPF · pith_short_16: UJGOEPWMUWPFIVT3 · pith_short_8: UJGOEPWM

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/UJGOEPWMUWPFIVT3GH6HZVGMC4 \
  | 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: a24ce23ecca59e54567b31fc7cd4cc172073aec9f1049c32fabbe66b4bc3acb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea81617a38e23d00a6ffffc6eead765e243245885455427a0b260bdace6a1c3",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-07T17:24:15Z",
    "title_canon_sha256": "976da512dbe65f5c7ca890b42666a8618b218674cdef5da9c490048afb72465b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.03921",
    "kind": "arxiv",
    "version": 1
  }
}