Pith Number

pith:7UJVVMLV

pith:2013:7UJVVMLVXVJNHYNGZG7TFIXKPI

not attested not anchored not stored refs pending

Linear balanceable and subcubic balanceable graphs

Kristina Vu\v{s}kovi\'c, Marko Radovanovi\'c, Nicolas Trotignon, Pierre Aboulker, Th\'eophile Trunck

arxiv:1309.1961 v1 · 2013-09-08 · 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{7UJVVMLVXVJNHYNGZG7TFIXKPI}

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	2026-05-18T01:26:32.087536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd135ab175bd52d3e1a6c9bf32a2ea7a2d6453379b0b9d5703d109356c84e914

Aliases

arxiv: 1309.1961 · arxiv_version: 1309.1961v1 · doi: 10.48550/arxiv.1309.1961 · pith_short_12: 7UJVVMLVXVJN · pith_short_16: 7UJVVMLVXVJNHYNG · pith_short_8: 7UJVVMLV

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/7UJVVMLVXVJNHYNGZG7TFIXKPI \
  | 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: fd135ab175bd52d3e1a6c9bf32a2ea7a2d6453379b0b9d5703d109356c84e914

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e73efa506ee3896332a73da46d21f1acf0e3f34e0cc4568a9767ce68d8a238c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-08T14:40:03Z",
    "title_canon_sha256": "b6bcadca63ec58625d2afd07abb93b3eadb6f9a97e9c6a5da73e4153172b7394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1961",
    "kind": "arxiv",
    "version": 1
  }
}