Pith Number

pith:GLQP66DK

pith:2020:GLQP66DKZJFZ4NV3G67VGRLSHH

not attested not anchored not stored refs pending

Improved Bound on Vertex Degree Version of Erd\H{o}s Matching Conjecture

Hongliang Lu, Mingyang Guo, Yaolin Jiang

arxiv:2001.02820 v4 · 2020-01-09 · 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{GLQP66DKZJFZ4NV3G67VGRLSHH}

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	2026-07-05T04:58:51.503699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32e0ff786aca4b9e36bb37bf53457239fbb89a320d0bc11351b2fac0b1cd53c6

Aliases

arxiv: 2001.02820 · arxiv_version: 2001.02820v4 · doi: 10.48550/arxiv.2001.02820 · pith_short_12: GLQP66DKZJFZ · pith_short_16: GLQP66DKZJFZ4NV3 · pith_short_8: GLQP66DK

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/GLQP66DKZJFZ4NV3G67VGRLSHH \
  | 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: 32e0ff786aca4b9e36bb37bf53457239fbb89a320d0bc11351b2fac0b1cd53c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c63e97ec524c7ce7657ac7534bc78e471d9d7ef857696274eb894a32da3f171",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-01-09T03:09:38Z",
    "title_canon_sha256": "3ccea22fc227bdb18ef2b3f938fa5efac081dde7d2c4b47c88f6f1000fc70d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.02820",
    "kind": "arxiv",
    "version": 4
  }
}