Pith Number

pith:VADU6F5F

pith:2009:VADU6F5FOV67NCG4P664OUOTPM

not attested not anchored not stored refs pending

The Gilbert Arborescence Problem

C. J. Ras, D. A. Thomas, K. J. Swanepoel, M. Brazil, M. G. Volz

arxiv:0909.4270 v2 · 2009-09-23 · math.OC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VADU6F5FOV67NCG4P664OUOTPM}

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	2026-05-18T02:28:21.456865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8074f17a5757df688dc7fbdc751d37b2324702a78964fd1ae9f99a9fa709c1e

Aliases

arxiv: 0909.4270 · arxiv_version: 0909.4270v2 · doi: 10.48550/arxiv.0909.4270 · pith_short_12: VADU6F5FOV67 · pith_short_16: VADU6F5FOV67NCG4 · pith_short_8: VADU6F5F

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/VADU6F5FOV67NCG4P664OUOTPM \
  | 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: a8074f17a5757df688dc7fbdc751d37b2324702a78964fd1ae9f99a9fa709c1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5de37ac749e8a3c62e05b55620d927a647f4f660320052f92d93a069ea959414",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2009-09-23T18:11:32Z",
    "title_canon_sha256": "2febed2e2ceb8c5401a6e1e1a624a0e4866ae4daf5a58de6459b49f39937e922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4270",
    "kind": "arxiv",
    "version": 2
  }
}