Pith Number

pith:ZJ65NTOI

pith:2017:ZJ65NTOIEQBLH7X2CID4WHKPCK

not attested not anchored not stored refs pending

On Gallai's and Haj\'os' Conjectures for graphs with treewidth at most 3

F\'abio Botler, Maycon Sambinelli, Orlando Lee, Rafael S. Coelho

arxiv:1706.04334 v1 · 2017-06-14 · 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{ZJ65NTOIEQBLH7X2CID4WHKPCK}

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	2026-05-18T00:42:22.958964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca7dd6cdc82402b3fefa1207cb1d4f128c1bb7d106b0350bb8ba3ae4bace1196

Aliases

arxiv: 1706.04334 · arxiv_version: 1706.04334v1 · doi: 10.48550/arxiv.1706.04334 · pith_short_12: ZJ65NTOIEQBL · pith_short_16: ZJ65NTOIEQBLH7X2 · pith_short_8: ZJ65NTOI

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/ZJ65NTOIEQBLH7X2CID4WHKPCK \
  | 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: ca7dd6cdc82402b3fefa1207cb1d4f128c1bb7d106b0350bb8ba3ae4bace1196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ad6c3a06b526de4379d1dbb081f9c9c3b6a84235126c5fa417e362f2d8d0d3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-14T07:03:06Z",
    "title_canon_sha256": "b49064463979d97fb84a68c5d2f10e9267e3aa30b302bf081c05b2d82478c902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04334",
    "kind": "arxiv",
    "version": 1
  }
}