Pith Number

pith:KKJOZYCN

pith:2017:KKJOZYCN4O3FRF54IWLFANMBVY

not attested not anchored not stored refs pending

A $\{-1,0,1\}$- and sparsest basis for the null space of a forest in optimal time

Adri\'an Pastine, Daniel A. Jaume, Gonzalo Molina, Mart\'in D. Safe

arxiv:1710.01639 v1 · 2017-10-04 · 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{KKJOZYCN4O3FRF54IWLFANMBVY}

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	2026-05-18T00:33:40.300568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5292ece04de3b65897bc4596503581ae30b1782459881c034f2e0fc53beb7814

Aliases

arxiv: 1710.01639 · arxiv_version: 1710.01639v1 · doi: 10.48550/arxiv.1710.01639 · pith_short_12: KKJOZYCN4O3F · pith_short_16: KKJOZYCN4O3FRF54 · pith_short_8: KKJOZYCN

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/KKJOZYCN4O3FRF54IWLFANMBVY \
  | 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: 5292ece04de3b65897bc4596503581ae30b1782459881c034f2e0fc53beb7814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f630d62447d157fa3ef1f521748f6adc65304b6fb5dd31871256ddf3ee278217",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-04T14:52:30Z",
    "title_canon_sha256": "94f81f50d95b4a81ac859cce9d2f4def0abf9deee8e1637bfe5c29b3230a1a64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01639",
    "kind": "arxiv",
    "version": 1
  }
}