Pith Number

pith:6GUDTM3M

pith:2024:6GUDTM3M52GNNEJR4YYF23WFKJ

not attested not anchored not stored refs pending

Reasonable Bounds for Combinatorial Lines of Length Three

Amey Bhangale, Dor Minzer, Subhash Khot, Yang P. Liu

arxiv:2411.15137 v1 · 2024-11-22 · math.CO · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GUDTM3M52GNNEJR4YYF23WFKJ}

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	2026-07-05T09:39:16.767572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1a839b36cee8cd69131e6305d6ec55275279baf6a4b40cededb82513ff58653

Aliases

arxiv: 2411.15137 · arxiv_version: 2411.15137v1 · doi: 10.48550/arxiv.2411.15137 · pith_short_12: 6GUDTM3M52GN · pith_short_16: 6GUDTM3M52GNNEJR · pith_short_8: 6GUDTM3M

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/6GUDTM3M52GNNEJR4YYF23WFKJ \
  | 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: f1a839b36cee8cd69131e6305d6ec55275279baf6a4b40cededb82513ff58653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bfbcecd4299c4e6ecc3a45457ba91468a8a48c717af09f0d1722ab9658cf7d8",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-22T18:58:32Z",
    "title_canon_sha256": "07a3bb8323fb0d493568c9549f1c0f0049bec2447183476e1af08a53386f87ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15137",
    "kind": "arxiv",
    "version": 1
  }
}