Pith Number

pith:JBETWCJZ

pith:2012:JBETWCJZNNLYYULGZWMB4FCVAC

not attested not anchored not stored refs pending

On multipartite Hajnal-Szemer\'edi theorems

Jie Han, Yi Zhao

arxiv:1203.2667 v2 · 2012-03-12 · 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{JBETWCJZNNLYYULGZWMB4FCVAC}

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	2026-05-18T02:28:32.144965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48493b09396b578c5166cd981e145500b2a04c53810f95d00cbefe3260107227

Aliases

arxiv: 1203.2667 · arxiv_version: 1203.2667v2 · doi: 10.48550/arxiv.1203.2667 · pith_short_12: JBETWCJZNNLY · pith_short_16: JBETWCJZNNLYYULG · pith_short_8: JBETWCJZ

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/JBETWCJZNNLYYULGZWMB4FCVAC \
  | 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: 48493b09396b578c5166cd981e145500b2a04c53810f95d00cbefe3260107227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69fc467ff22337eccc74bf3603480a2c2ad0aacd87f414b188ccf27e47f12a74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-12T22:19:43Z",
    "title_canon_sha256": "527533f70b7e2c0c7bbc1014b9b32feba7051a3f80338e7cf408ed73b71610a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2667",
    "kind": "arxiv",
    "version": 2
  }
}