Pith Number

pith:MRRWJL44

pith:2007:MRRWJL44NP3TS4UWJZFZKISSKM

not attested not anchored not stored refs pending

On a class of metrics related to graph layout problems

Adam N. Letchford, Dirk Oliver Theis, Hanna Seitz

arxiv:0709.0910 v4 · 2007-09-06 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRRWJL44NP3TS4UWJZFZKISSKM}

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	2026-05-18T04:16:32.545331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646364af9c6bf73972964e4b952252532e92c53145a957b75aca1cfbe3f68ead

Aliases

arxiv: 0709.0910 · arxiv_version: 0709.0910v4 · doi: 10.48550/arxiv.0709.0910 · pith_short_12: MRRWJL44NP3T · pith_short_16: MRRWJL44NP3TS4UW · pith_short_8: MRRWJL44

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/MRRWJL44NP3TS4UWJZFZKISSKM \
  | 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: 646364af9c6bf73972964e4b952252532e92c53145a957b75aca1cfbe3f68ead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a939c978fef5dca4feb6f3cc1b8494f699a4c06610827bbe855083b3f3352a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-09-06T16:26:25Z",
    "title_canon_sha256": "1f42a206dfdb9bfb984f27adab62fa9b98ba742bf160a86adfc4c7d875126e40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0910",
    "kind": "arxiv",
    "version": 4
  }
}