Pith Number

pith:L72TUHC2

pith:2010:L72TUHC24CIQYCJJDL642C3GS7

not attested not anchored not stored refs pending

Imbalances in directed multigraphs

A. Ivanyi, S. Pirzada, T. A. Naikoo, U. Samee

arxiv:1012.5447 v1 · 2010-12-25 · 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{L72TUHC24CIQYCJJDL642C3GS7}

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	2026-05-18T04:32:23.463283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ff53a1c5ae0910c09291afdcd0b6697f173e496640d24e08d3451be68147e7a

Aliases

arxiv: 1012.5447 · arxiv_version: 1012.5447v1 · doi: 10.48550/arxiv.1012.5447 · pith_short_12: L72TUHC24CIQ · pith_short_16: L72TUHC24CIQYCJJ · pith_short_8: L72TUHC2

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/L72TUHC24CIQYCJJDL642C3GS7 \
  | 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: 5ff53a1c5ae0910c09291afdcd0b6697f173e496640d24e08d3451be68147e7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b373de6e5f576dc80c5ce0e531217d900f8195491741a8788386b304dd704ac9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-25T04:15:27Z",
    "title_canon_sha256": "cce2e9f1114af956e8cd55b8c2a76c928926c5e4b166b1ff317328f79b9d36f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5447",
    "kind": "arxiv",
    "version": 1
  }
}