Pith Number

pith:GZTFD5ES

pith:2018:GZTFD5ESEOAZAOJHDG5J7LBEJH

not attested not anchored not stored refs pending

On the structure of the fundamental subspaces of acyclic matrices with $0$ in the diagonal

Adri\'an Pastine, Daniel A. Jaume

arxiv:1802.10142 v1 · 2018-02-27 · 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{GZTFD5ESEOAZAOJHDG5J7LBEJH}

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	2026-05-18T00:22:18.028079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

366651f492238190392719ba9fac2449eae9e59555335cc416d70ef71ac35bc4

Aliases

arxiv: 1802.10142 · arxiv_version: 1802.10142v1 · doi: 10.48550/arxiv.1802.10142 · pith_short_12: GZTFD5ESEOAZ · pith_short_16: GZTFD5ESEOAZAOJH · pith_short_8: GZTFD5ES

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/GZTFD5ESEOAZAOJHDG5J7LBEJH \
  | 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: 366651f492238190392719ba9fac2449eae9e59555335cc416d70ef71ac35bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b10711b15268b640c5d83cad341b5ff1498d0d10f05c33e05124a33bf2d0f06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-27T20:02:48Z",
    "title_canon_sha256": "dee53f7fa2ec52b717bca7f8a16d5cdb5c749db413795c04eeb7d780c3b6b993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10142",
    "kind": "arxiv",
    "version": 1
  }
}