Pith Number

pith:JXPPDV2A

pith:2025:JXPPDV2AW3LAPPJYAMV5T72N4B

not attested not anchored not stored refs pending

A problem of Erd\H{o}s and Hajnal on paths with equal-degree endpoints

Jie Ma, Kaizhe Chen

arxiv:2503.19569 v1 · 2025-03-25 · 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{JXPPDV2AW3LAPPJYAMV5T72N4B}

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	2026-07-05T10:38:57.363520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ddef1d740b6d607bd38032bd9ff4de0453503c5e84655801de5fdfc0c073fa8

Aliases

arxiv: 2503.19569 · arxiv_version: 2503.19569v1 · doi: 10.48550/arxiv.2503.19569 · pith_short_12: JXPPDV2AW3LA · pith_short_16: JXPPDV2AW3LAPPJY · pith_short_8: JXPPDV2A

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/JXPPDV2AW3LAPPJYAMV5T72N4B \
  | 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: 4ddef1d740b6d607bd38032bd9ff4de0453503c5e84655801de5fdfc0c073fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dadff9a0e3e9ab04eaa6557528322dc0a5c7bb9df10857b9a60dcf2814319a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-25T11:36:02Z",
    "title_canon_sha256": "90d34aba0a86201ce0a201f6b8050197a9038f451560bbe48cdd7075002dbf91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.19569",
    "kind": "arxiv",
    "version": 1
  }
}