Pith Number

pith:S4567GV5

pith:2017:S4567GV5344YK5ZR5XK6UFGX4W

not attested not anchored not stored refs pending

Many edge-disjoint rainbow spanning trees in general graphs

Lauren M. Nelsen, Paul Horn

arxiv:1704.00048 v1 · 2017-03-31 · 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{S4567GV5344YK5ZR5XK6UFGX4W}

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	2026-05-18T00:47:25.578066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

973bef9abddf39857731edd5ea14d7e585839f9c6eca514edd897e4360efc81e

Aliases

arxiv: 1704.00048 · arxiv_version: 1704.00048v1 · doi: 10.48550/arxiv.1704.00048 · pith_short_12: S4567GV5344Y · pith_short_16: S4567GV5344YK5ZR · pith_short_8: S4567GV5

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/S4567GV5344YK5ZR5XK6UFGX4W \
  | 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: 973bef9abddf39857731edd5ea14d7e585839f9c6eca514edd897e4360efc81e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3269c09e46ec489afbcc474db1199c063f216fae2bd51d581cd86a7fc0d6f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-31T20:26:17Z",
    "title_canon_sha256": "81664cdacf5f5e8cddde327a3eeafaf4fb2160361d993e479da007569e02448d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00048",
    "kind": "arxiv",
    "version": 1
  }
}