Pith Number

pith:MEF7KVYY

pith:2021:MEF7KVYYKXD4NXZ23FCKAL3XFY

not attested not anchored not stored refs pending

Approximately counting independent sets in bipartite graphs via graph containers

Aditya Potukuchi, Matthew Jenssen, Will Perkins

arxiv:2109.03744 v1 · 2021-09-08 · cs.DS · 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{MEF7KVYYKXD4NXZ23FCKAL3XFY}

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	2026-07-05T03:12:42.670390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

610bf5571855c7c6df3ad944a02f772e31bfe653fc604366acd28590a0ba395d

Aliases

arxiv: 2109.03744 · arxiv_version: 2109.03744v1 · doi: 10.48550/arxiv.2109.03744 · pith_short_12: MEF7KVYYKXD4 · pith_short_16: MEF7KVYYKXD4NXZ2 · pith_short_8: MEF7KVYY

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/MEF7KVYYKXD4NXZ23FCKAL3XFY \
  | 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: 610bf5571855c7c6df3ad944a02f772e31bfe653fc604366acd28590a0ba395d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0742d655f0ce026f8b0a309a1ad9e2a0a61b43164c4cfa6216256b008034b0c4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-09-08T16:05:22Z",
    "title_canon_sha256": "8f665e591e171ae840265943fbf1cf98e9555d07a16b2a27356f81cf4ff96264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03744",
    "kind": "arxiv",
    "version": 1
  }
}