Pith Number

pith:HGBEE36W

pith:2019:HGBEE36WFLB5V6QWPWW4EBZANA

not attested not anchored not stored refs pending

Bipartite Graphs as Polynomials, and Polynomials as Bipartite Graphs (with a view towards dividing in $\mathbb{N}[x],$ $\mathbb{N}[x,y]$)

Andrey Grinblat, Viktor Lopatkin

arxiv:1903.10010 v1 · 2019-03-24 · math.RA · 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{HGBEE36WFLB5V6QWPWW4EBZANA}

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	2026-05-17T23:50:34.799586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3982426fd62ac3dafa167dadc2072068079f64843c383b29bb81947cd38554f2

Aliases

arxiv: 1903.10010 · arxiv_version: 1903.10010v1 · doi: 10.48550/arxiv.1903.10010 · pith_short_12: HGBEE36WFLB5 · pith_short_16: HGBEE36WFLB5V6QW · pith_short_8: HGBEE36W

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/HGBEE36WFLB5V6QWPWW4EBZANA \
  | 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: 3982426fd62ac3dafa167dadc2072068079f64843c383b29bb81947cd38554f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c917bd2e01118e7ae849f434aa202f4a6a2fda10c8f7aebca02abb2eb61079c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-03-24T16:12:05Z",
    "title_canon_sha256": "0f1c5a3a76c434e6e7fa4a4d90ebdd1e14e3e3ab90c119a539ae298ed5d2a13f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10010",
    "kind": "arxiv",
    "version": 1
  }
}