Pith Number

pith:YDDCQMDT

pith:2006:YDDCQMDTTESJ2NNABCG272W4YW

not attested not anchored not stored refs pending

Cones and gauges in complex spaces : Spectral gaps and complex Perron-Frobenius theory

Hans Henrik Rugh

arxiv:math/0610354 v1 · 2006-10-11 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YDDCQMDTTESJ2NNABCG272W4YW}

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	2026-05-18T04:28:10.273746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0c628307399249d35a0088dafeadcc5a53d8511e05f0dc45d879ee90012554b

Aliases

arxiv: math/0610354 · arxiv_version: math/0610354v1 · doi: 10.48550/arxiv.math/0610354 · pith_short_12: YDDCQMDTTESJ · pith_short_16: YDDCQMDTTESJ2NNA · pith_short_8: YDDCQMDT

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/YDDCQMDTTESJ2NNABCG272W4YW \
  | 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: c0c628307399249d35a0088dafeadcc5a53d8511e05f0dc45d879ee90012554b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179e9632de5fd904b994064a59503dc46ec9fae8102bb1e6ef400fbab6d467bd",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-10-11T08:54:22Z",
    "title_canon_sha256": "d3cc6407f97eba8ca1e3740a060962c0305963cdfb7eb6645b1c457a49b9f958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610354",
    "kind": "arxiv",
    "version": 1
  }
}