Pith Number

pith:J4PMC4KO

pith:2016:J4PMC4KOL5DJT72GEZSCEHUGLV

not attested not anchored not stored refs pending

Shortest (A+B)-path packing via hafnian

Hiroshi Hirai, Hiroyuki Namba

arxiv:1603.08073 v2 · 2016-03-26 · math.CO · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4PMC4KOL5DJT72GEZSCEHUGLV}

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	2026-05-18T00:42:33.061000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1ec1714e5f4699ff462664221e865d5de4bb866b5e1e7cfd7428946cc15e88

Aliases

arxiv: 1603.08073 · arxiv_version: 1603.08073v2 · doi: 10.48550/arxiv.1603.08073 · pith_short_12: J4PMC4KOL5DJ · pith_short_16: J4PMC4KOL5DJT72G · pith_short_8: J4PMC4KO

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/J4PMC4KOL5DJT72GEZSCEHUGLV \
  | 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: 4f1ec1714e5f4699ff462664221e865d5de4bb866b5e1e7cfd7428946cc15e88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d02c5c7683b9f07687d591a222fbd0784f05150865b81ddaabc89f40a9a55291",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-26T04:42:17Z",
    "title_canon_sha256": "c3429df74f6dd5930e10770677fbc07571c4d93e1cf54b44a846416269814286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08073",
    "kind": "arxiv",
    "version": 2
  }
}