Pith Number

pith:EPUSNU4G

pith:2018:EPUSNU4GCMYC3J4TIN5RNH3J7Y

not attested not anchored not stored refs pending

Gallai's path decomposition conjecture for triangle-free planar graphs

Andrea Jim\'enez, F\'abio Botler, Maycon Sambinelli

arxiv:1803.06768 v1 · 2018-03-19 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPUSNU4GCMYC3J4TIN5RNH3J7Y}

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	2026-05-18T00:20:43.808485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23e926d38613302da793437b169f69fe36a81042b6a292c6d37108f0f8c46b0f

Aliases

arxiv: 1803.06768 · arxiv_version: 1803.06768v1 · doi: 10.48550/arxiv.1803.06768 · pith_short_12: EPUSNU4GCMYC · pith_short_16: EPUSNU4GCMYC3J4T · pith_short_8: EPUSNU4G

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/EPUSNU4GCMYC3J4TIN5RNH3J7Y \
  | 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: 23e926d38613302da793437b169f69fe36a81042b6a292c6d37108f0f8c46b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b49209efc88d5dddfd2b26c957ce2f73c2436892f1d218951d45db3d49c6605",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-19T00:50:50Z",
    "title_canon_sha256": "3ca1d0bf1f163fbeabcbe0f93b6e414221e2b45013b49804092dcf9a96c2012a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06768",
    "kind": "arxiv",
    "version": 1
  }
}