Pith Number

pith:GNPCCDTI

pith:2017:GNPCCDTIEOJ5FLQCCZMCPB5FSP

not attested not anchored not stored refs pending

Four Edge-Independent Spanning Trees

Alexander Hoyer, Robin Thomas

arxiv:1705.01199 v3 · 2017-05-02 · 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{GNPCCDTIEOJ5FLQCCZMCPB5FSP}

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	2026-05-18T00:29:51.671048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

335e210e682393d2ae0216582787a593c861a61cf372aeb74c7421d911f48b98

Aliases

arxiv: 1705.01199 · arxiv_version: 1705.01199v3 · doi: 10.48550/arxiv.1705.01199 · pith_short_12: GNPCCDTIEOJ5 · pith_short_16: GNPCCDTIEOJ5FLQC · pith_short_8: GNPCCDTI

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/GNPCCDTIEOJ5FLQCCZMCPB5FSP \
  | 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: 335e210e682393d2ae0216582787a593c861a61cf372aeb74c7421d911f48b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7cf1f1ff86e9b962c349fddcce7b4043251efca6470e56030bb1ce3db10f155",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-02T23:13:28Z",
    "title_canon_sha256": "2b3484f733c82173a93621666165d6a760ceedeeb439792996825974f5954c8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01199",
    "kind": "arxiv",
    "version": 3
  }
}