Pith Number

pith:LCCPNUNY

pith:2019:LCCPNUNYNMIYVJL4YIRB2Q2FW7

not attested not anchored not stored refs pending

Some results on concatenating bipartite graphs

Patrick Hompe

arxiv:1908.07453 v3 · 2019-08-19 · 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{LCCPNUNYNMIYVJL4YIRB2Q2FW7}

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	2026-07-05T04:34:25.023351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5884f6d1b86b118aa57cc2221d4345b7fec27800daa6e2e9b10130eb7d442e59

Aliases

arxiv: 1908.07453 · arxiv_version: 1908.07453v3 · doi: 10.48550/arxiv.1908.07453 · pith_short_12: LCCPNUNYNMIY · pith_short_16: LCCPNUNYNMIYVJL4 · pith_short_8: LCCPNUNY

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/LCCPNUNYNMIYVJL4YIRB2Q2FW7 \
  | 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: 5884f6d1b86b118aa57cc2221d4345b7fec27800daa6e2e9b10130eb7d442e59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a51a6a7af9f45bb82b0670a2e0f46c8109c1592b0fd1c5aeb28bc2db792c928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-19T01:06:42Z",
    "title_canon_sha256": "19f7cf90597e317e1d69e7f58c91ce4d8d8a581488f73123f76ce344cb7133d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07453",
    "kind": "arxiv",
    "version": 3
  }
}