Pith Number

pith:M7GCZPPD

pith:2025:M7GCZPPD3ZVZ33AJGTRCXHAHNO

not attested not anchored not stored refs pending

Erd\H{o}s-Ko-Rado Theorems for Paths in Graphs

Glenn Hurlbert, James Danielsson, Neal Bushaw

arxiv:2504.05406 v2 · 2025-04-07 · 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{M7GCZPPD3ZVZ33AJGTRCXHAHNO}

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	2026-06-19T16:12:13.565700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67cc2cbde3de6b9dec0934e22b9c076b9d89a188cb0e6c88b2868fb6be94fb71

Aliases

arxiv: 2504.05406 · arxiv_version: 2504.05406v2 · doi: 10.48550/arxiv.2504.05406 · pith_short_12: M7GCZPPD3ZVZ · pith_short_16: M7GCZPPD3ZVZ33AJ · pith_short_8: M7GCZPPD

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/M7GCZPPD3ZVZ33AJGTRCXHAHNO \
  | 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: 67cc2cbde3de6b9dec0934e22b9c076b9d89a188cb0e6c88b2868fb6be94fb71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecab5c0b39f02ea5adbeca4e14016312d1b9d77f1ded57510293ac3046271f54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-07T18:22:56Z",
    "title_canon_sha256": "4d869671acb2ec31578a2413ad502d20aba84e38d4c1841cc0cced8a50db1c0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05406",
    "kind": "arxiv",
    "version": 2
  }
}