Pith Number

pith:UM2X4PSS

pith:2012:UM2X4PSSI3ASD2TVMCBC6LEM56

not attested not anchored not stored refs pending

Spanning trees with small degrees and few leaves

Eduardo Rivera-Campo

arxiv:1203.0757 v1 · 2012-03-04 · 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{UM2X4PSSI3ASD2TVMCBC6LEM56}

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	2026-05-18T01:27:55.092664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3357e3e5246c121ea7560822f2c8cef92148d9fd9df814e7121d5af72f58f6c

Aliases

arxiv: 1203.0757 · arxiv_version: 1203.0757v1 · doi: 10.48550/arxiv.1203.0757 · pith_short_12: UM2X4PSSI3AS · pith_short_16: UM2X4PSSI3ASD2TV · pith_short_8: UM2X4PSS

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/UM2X4PSSI3ASD2TVMCBC6LEM56 \
  | 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: a3357e3e5246c121ea7560822f2c8cef92148d9fd9df814e7121d5af72f58f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21bb0eac29cb59bb05316ae9706970e3b7a813b40a3e4b4f1abf48c14d00ba80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-04T18:39:09Z",
    "title_canon_sha256": "a08d7592ae1d5ef3d15d1de6d6ef8638df9951999b74998412164e8cfa592e76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0757",
    "kind": "arxiv",
    "version": 1
  }
}