Pith Number

pith:ZARDKWXV

pith:2019:ZARDKWXVE2VALZDFRLXRMBO4OK

not attested not anchored not stored refs pending

Counting independent sets and colorings on random regular bipartite graphs

Chao Liao, Jiabao Lin, Pinyan Lu, Zhenyu Mao

arxiv:1903.07531 v1 · 2019-03-18 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZARDKWXVE2VALZDFRLXRMBO4OK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:51:01.130434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c822355af526aa05e4658aef1605dc72b99e5c3ab5c85276efe7c0363ab97cae

Aliases

arxiv: 1903.07531 · arxiv_version: 1903.07531v1 · doi: 10.48550/arxiv.1903.07531 · pith_short_12: ZARDKWXVE2VA · pith_short_16: ZARDKWXVE2VALZDF · pith_short_8: ZARDKWXV

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/ZARDKWXVE2VALZDFRLXRMBO4OK \
  | 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: c822355af526aa05e4658aef1605dc72b99e5c3ab5c85276efe7c0363ab97cae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643d3799c5a2e5da55c77c644507b8c0f3a3ea4c94d9df06592b81f0704bdedf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-03-18T16:17:36Z",
    "title_canon_sha256": "e173d5403408f50e508d6c860677902a3e161204850c006bc06b3101de9b6ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07531",
    "kind": "arxiv",
    "version": 1
  }
}