Pith Number

pith:6HNTLRS5

pith:2014:6HNTLRS5M6YIDQLK2UWGBH2NLW

not attested not anchored not stored refs pending

The Hierarchy of Circuit Diameters and Transportation Polytopes

Elisabeth Finhold, Jacob Miller, Jes\'us A. De Loera, Steffen Borgwardt

arxiv:1411.1701 v3 · 2014-11-06 · 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{6HNTLRS5M6YIDQLK2UWGBH2NLW}

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	2026-05-18T02:18:13.489876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1db35c65d67b081c16ad52c609f4d5da34c9e6f067cb142f9e3d872f6af9e15

Aliases

arxiv: 1411.1701 · arxiv_version: 1411.1701v3 · doi: 10.48550/arxiv.1411.1701 · pith_short_12: 6HNTLRS5M6YI · pith_short_16: 6HNTLRS5M6YIDQLK · pith_short_8: 6HNTLRS5

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/6HNTLRS5M6YIDQLK2UWGBH2NLW \
  | 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: f1db35c65d67b081c16ad52c609f4d5da34c9e6f067cb142f9e3d872f6af9e15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f942c6fb4824d012a6c67d8cfaf1fa25f6a361e95e182c11909c93ab55a32ae8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-06T18:55:19Z",
    "title_canon_sha256": "724f1d3b091de953a06c14a266fae4852f1216bbaf532d561e4e020efd02a1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1701",
    "kind": "arxiv",
    "version": 3
  }
}