Pith Number

pith:GKL5D3HY

pith:2013:GKL5D3HY7DYS4NMOYYIKFI2RQO

not attested not anchored not stored refs pending

Eigenvectors and eigenfunctionals of homogeneous order-preserving maps

Horst R. Thieme

arxiv:1302.3905 v1 · 2013-02-15 · 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{GKL5D3HY7DYS4NMOYYIKFI2RQO}

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	2026-05-18T03:33:24.915766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3297d1ecf8f8f12e358ec610a2a3518397468f078ba02ca73221ab05292db01e

Aliases

arxiv: 1302.3905 · arxiv_version: 1302.3905v1 · doi: 10.48550/arxiv.1302.3905 · pith_short_12: GKL5D3HY7DYS · pith_short_16: GKL5D3HY7DYS4NMO · pith_short_8: GKL5D3HY

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/GKL5D3HY7DYS4NMOYYIKFI2RQO \
  | 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: 3297d1ecf8f8f12e358ec610a2a3518397468f078ba02ca73221ab05292db01e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc6ff72fc3d7c82b56b0bfcafbdc6ebb98a0e0b882e4e83ebba7c7da2bd50cff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-15T22:24:40Z",
    "title_canon_sha256": "4e6235a82bb6eb23b9ee414c05074a1c7e6eb6c42fe5172c2d135e6d99f9bb44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3905",
    "kind": "arxiv",
    "version": 1
  }
}