Pith Number

pith:P34CNP45

pith:2010:P34CNP45M6VK6SWV4HQNWNMISS

not attested not anchored not stored refs pending

Matrices Totally Positive Relative to a Tree, II

C. R. Johnson, R. S. Costas-Santos

arxiv:1003.5160 v2 · 2010-03-25 · 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{P34CNP45M6VK6SWV4HQNWNMISS}

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	2026-05-18T02:26:53.263084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef826bf9d67aaaf4ad5e1e0db358894abdd595c6e485c18c5502c39bc10d9e7

Aliases

arxiv: 1003.5160 · arxiv_version: 1003.5160v2 · doi: 10.48550/arxiv.1003.5160 · pith_short_12: P34CNP45M6VK · pith_short_16: P34CNP45M6VK6SWV · pith_short_8: P34CNP45

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/P34CNP45M6VK6SWV4HQNWNMISS \
  | 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: 7ef826bf9d67aaaf4ad5e1e0db358894abdd595c6e485c18c5502c39bc10d9e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79d20bb4c66115c9da2c2e4f207c2bf773a967ae53e94bc04fe49ee43d7a48a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-25T01:42:32Z",
    "title_canon_sha256": "bf0f9e3115adc355fd17918d6c61aea1f3478e85c4c0c16ddee91431b68ee55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5160",
    "kind": "arxiv",
    "version": 2
  }
}