Pith Number

pith:MKZP6XIR

pith:2023:MKZP6XIRJHPBKM35B5QX6NCJEF

not attested not anchored not stored refs pending

Enumerating minimal solution sets for metric graph problems

Benjamin Bergougnoux, Fionn Mc Inerney, Oscar Defrain

arxiv:2309.17419 v2 · 2023-09-29 · cs.DM · cs.DS · 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{MKZP6XIRJHPBKM35B5QX6NCJEF}

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	2026-07-05T08:28:02.468053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62b2ff5d1149de15337d0f617f344921702446dbfc9abe6090cb6df2cd170cf7

Aliases

arxiv: 2309.17419 · arxiv_version: 2309.17419v2 · doi: 10.48550/arxiv.2309.17419 · pith_short_12: MKZP6XIRJHPB · pith_short_16: MKZP6XIRJHPBKM35 · pith_short_8: MKZP6XIR

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/MKZP6XIRJHPBKM35B5QX6NCJEF \
  | 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: 62b2ff5d1149de15337d0f617f344921702446dbfc9abe6090cb6df2cd170cf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b592aa5fc38ec8f13dfcb466053ffc35f5f25ddfe2a41322c43709449db06dbc",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2023-09-29T17:27:42Z",
    "title_canon_sha256": "0a5836effa9497c8116472767ad5f54477c4ab6b3fa6f1a9639d2fb39966ea26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.17419",
    "kind": "arxiv",
    "version": 2
  }
}