Pith Number

pith:IGIVXOUB

pith:2016:IGIVXOUBO7WVJUJ3MJBNSFDPVM

not attested not anchored not stored refs pending

Minimal obstructions for normal spanning trees

Max Pitz, Nathan Bowler, Stefan Geschke

arxiv:1609.01042 v2 · 2016-09-05 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGIVXOUBO7WVJUJ3MJBNSFDPVM}

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	2026-05-18T00:33:44.086862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41915bba8177ed54d13b6242d9146fab270d838523a7dc09a73bbb690b515d75

Aliases

arxiv: 1609.01042 · arxiv_version: 1609.01042v2 · doi: 10.48550/arxiv.1609.01042 · pith_short_12: IGIVXOUBO7WV · pith_short_16: IGIVXOUBO7WVJUJ3 · pith_short_8: IGIVXOUB

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/IGIVXOUBO7WVJUJ3MJBNSFDPVM \
  | 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: 41915bba8177ed54d13b6242d9146fab270d838523a7dc09a73bbb690b515d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64a2e1ffee9afef7d4b9c6337a39d70598b19e03c8834fa0747e94bc8c01f67d",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-05T07:34:21Z",
    "title_canon_sha256": "a6a891e2db388d54f11890d31402b7ea3cef96f16e6cf1d9854cea4e89d99aa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01042",
    "kind": "arxiv",
    "version": 2
  }
}