Pith Number

pith:WENMSDJF

pith:2015:WENMSDJFNMWRP4ESQ5RSIUBBF7

not attested not anchored not stored refs pending

A Perron theorem for matrices with negative entries and applications to Coxeter groups

Jean-Philippe Labb\'e, S\'ebastien Labb\'e

arxiv:1511.04975 v1 · 2015-11-16 · math.GR · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WENMSDJFNMWRP4ESQ5RSIUBBF7}

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	2026-05-18T01:26:51.155288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11ac90d256b2d17f09287632450212ff6e9fa515903937d6c92532fdc12ec9c

Aliases

arxiv: 1511.04975 · arxiv_version: 1511.04975v1 · doi: 10.48550/arxiv.1511.04975 · pith_short_12: WENMSDJFNMWR · pith_short_16: WENMSDJFNMWRP4ES · pith_short_8: WENMSDJF

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/WENMSDJFNMWRP4ESQ5RSIUBBF7 \
  | 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: b11ac90d256b2d17f09287632450212ff6e9fa515903937d6c92532fdc12ec9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1642f0a84c96c933eb596c7f340061889d34e298d6d0c199ded99675f49bb575",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-16T14:45:54Z",
    "title_canon_sha256": "616d262c6c69631d28b4bf4c93955838550fa97c86cf9f354b4f1681c71383e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04975",
    "kind": "arxiv",
    "version": 1
  }
}