Pith Number

pith:2ROYIGR3

pith:2016:2ROYIGR32ZJUAN5ZQHSGAM6UZS

not attested not anchored not stored refs pending

Packing arborescences in random digraphs

Carlos Hoppen, Cristiane M. Sato, Roberto F. Parente

arxiv:1605.05764 v2 · 2016-05-18 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ROYIGR32ZJUAN5ZQHSGAM6UZS}

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	2026-05-18T00:33:59.993432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d45d841a3bd6534037b981e46033d4cc95136079424b0b18ae715cc390b50b90

Aliases

arxiv: 1605.05764 · arxiv_version: 1605.05764v2 · doi: 10.48550/arxiv.1605.05764 · pith_short_12: 2ROYIGR32ZJU · pith_short_16: 2ROYIGR32ZJUAN5Z · pith_short_8: 2ROYIGR3

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/2ROYIGR32ZJUAN5ZQHSGAM6UZS \
  | 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: d45d841a3bd6534037b981e46033d4cc95136079424b0b18ae715cc390b50b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1fc8d9578e3964348b3bef68e5cc715002c420cb7ca711186f49ac663269efa",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-18T21:47:56Z",
    "title_canon_sha256": "cf94e174cb6f5063c7469320fbbb32847ae938c73a7a502bd09ecc9255234f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.05764",
    "kind": "arxiv",
    "version": 2
  }
}