Pith Number

pith:YKECDKKD

pith:2025:YKECDKKDHY4UVXR5LXRZZG2TES

not attested not anchored not stored refs pending

Polynomial Bounds in the Apex Minor Theorem

David R. Wood, Kevin Hendrey

arxiv:2503.04228 v1 · 2025-03-06 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YKECDKKDHY4UVXR5LXRZZG2TES}

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.

Cited by

1 paper in Pith

An Erd\H{o}s-P\'osa theorem for cycles and faces of distinct lengths

Receipt and verification

First computed	2026-07-05T10:25:32.834531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c28821a9433e394ade3d5de39c9b5324b73c7301885cc6283179d804b6feacfd

Aliases

arxiv: 2503.04228 · arxiv_version: 2503.04228v1 · doi: 10.48550/arxiv.2503.04228 · pith_short_12: YKECDKKDHY4U · pith_short_16: YKECDKKDHY4UVXR5 · pith_short_8: YKECDKKD

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/YKECDKKDHY4UVXR5LXRZZG2TES \
  | 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: c28821a9433e394ade3d5de39c9b5324b73c7301885cc6283179d804b6feacfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "880f56106f8ab2be478b3bd4a1f71920f17032169c21e9abed2398cd5a65dd97",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-06T09:08:45Z",
    "title_canon_sha256": "2a6e94fb241ee547d41faf9ab76abe93fe5cdf9199c86efd33891f83bc3e2b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.04228",
    "kind": "arxiv",
    "version": 1
  }
}