Pith Number

pith:MXFKX24G

pith:2015:MXFKX24GBTHIG4HFHYCHQTAXMC

not attested not anchored not stored refs pending

Finding k partially disjoint paths in a directed planar graph

Alexander Schrijver

arxiv:1504.00185 v1 · 2015-04-01 · 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{MXFKX24GBTHIG4HFHYCHQTAXMC}

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	2026-05-18T02:19:44.327426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65caabeb860cce8370e53e04784c17608d2363ae263a56cd9bb4187a900e119f

Aliases

arxiv: 1504.00185 · arxiv_version: 1504.00185v1 · doi: 10.48550/arxiv.1504.00185 · pith_short_12: MXFKX24GBTHI · pith_short_16: MXFKX24GBTHIG4HF · pith_short_8: MXFKX24G

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/MXFKX24GBTHIG4HFHYCHQTAXMC \
  | 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: 65caabeb860cce8370e53e04784c17608d2363ae263a56cd9bb4187a900e119f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6faf5dba706a3b3ab1c5403c011ce0f2303d6009909892c4d0e95cf1b59428ec",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-01T11:36:09Z",
    "title_canon_sha256": "f2abd156fba7a56173eb6857aa3947cb5d7f2a545770148ae2ec427cf30ffaa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00185",
    "kind": "arxiv",
    "version": 1
  }
}