Pith Number

pith:MUUQW2G6

pith:2018:MUUQW2G6BP6T4K3LZPHODOQNOX

not attested not anchored not stored refs pending

Discrete Decreasing Minimization, Part I: Base-polyhedra with Applications in Network Optimization

Andr\'as Frank, Kazuo Murota

arxiv:1808.07600 v3 · 2018-08-23 · 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{MUUQW2G6BP6T4K3LZPHODOQNOX}

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	2026-05-17T23:41:13.007074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65290b68de0bfd3e2b6bcbcee1ba0d75f546c7b9e14d74fe039771e1e182fbfc

Aliases

arxiv: 1808.07600 · arxiv_version: 1808.07600v3 · doi: 10.48550/arxiv.1808.07600 · pith_short_12: MUUQW2G6BP6T · pith_short_16: MUUQW2G6BP6T4K3L · pith_short_8: MUUQW2G6

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/MUUQW2G6BP6T4K3LZPHODOQNOX \
  | 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: 65290b68de0bfd3e2b6bcbcee1ba0d75f546c7b9e14d74fe039771e1e182fbfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff8a5f4abac9b68b79c72b931f8cba634b5a0a16d734a8eabf053a93ddbfeb6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-23T00:45:48Z",
    "title_canon_sha256": "b6eb80210ada2260ddc076d07b3293ccd1035c64834998ea3a9c10e30b06da22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07600",
    "kind": "arxiv",
    "version": 3
  }
}