Pith Number

pith:JQ4YWJDF

pith:2017:JQ4YWJDFTL3TEOU3I6LRCMIUNV

not attested not anchored not stored refs pending

Spanning tree with lower bound on the degrees

Zolt\'an Kir\'aly

arxiv:1710.07089 v1 · 2017-10-19 · 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{JQ4YWJDFTL3TEOU3I6LRCMIUNV}

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	2026-05-18T00:32:27.024646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c398b24659af7323a9b47971131146d57d9553f28a9defbcee3115188cf1ab7

Aliases

arxiv: 1710.07089 · arxiv_version: 1710.07089v1 · doi: 10.48550/arxiv.1710.07089 · pith_short_12: JQ4YWJDFTL3T · pith_short_16: JQ4YWJDFTL3TEOU3 · pith_short_8: JQ4YWJDF

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/JQ4YWJDFTL3TEOU3I6LRCMIUNV \
  | 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: 4c398b24659af7323a9b47971131146d57d9553f28a9defbcee3115188cf1ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c94cdbadbb201b4ab372459b6a1c6d2f71bff0c22678172772ae036e0c3cd9b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-19T11:17:27Z",
    "title_canon_sha256": "84d5bb9d33514c00d40ed61b26ca7989cb187b11e2bf4fd0ecff9e96b70eb7f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07089",
    "kind": "arxiv",
    "version": 1
  }
}