Pith Number

pith:BZBSJO5A

pith:2020:BZBSJO5AY6FZ3OY5AXP6LW5YIN

not attested not anchored not stored refs pending

A generalization of Stiebitz-type results on graph decomposition

Chunlei Zu, Qinghou Zeng

arxiv:2009.02175 v1 · 2020-09-04 · 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{BZBSJO5AY6FZ3OY5AXP6LW5YIN}

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	2026-07-05T01:33:04.131633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e4324bba0c78b9dbb1d05dfe5dbb8434a43de669efcd4b86166f2e610a049ba

Aliases

arxiv: 2009.02175 · arxiv_version: 2009.02175v1 · doi: 10.48550/arxiv.2009.02175 · pith_short_12: BZBSJO5AY6FZ · pith_short_16: BZBSJO5AY6FZ3OY5 · pith_short_8: BZBSJO5A

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/BZBSJO5AY6FZ3OY5AXP6LW5YIN \
  | 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: 0e4324bba0c78b9dbb1d05dfe5dbb8434a43de669efcd4b86166f2e610a049ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee0b37a28647ea00810beae0aaf873a45a41a5529757c472aa0042b3b1699282",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-09-04T13:19:36Z",
    "title_canon_sha256": "455c4de50f01636ca3f23093143e1210775f1e93fca5d6b6c716b89607e1abdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.02175",
    "kind": "arxiv",
    "version": 1
  }
}