Pith Number

pith:JPGZWGY3

pith:2014:JPGZWGY3D3FV7ZCFHRF44YZFQR

not attested not anchored not stored refs pending

On the Spectral Decomposition of Dichotomous and Bisectorial Operators

Christian Wyss, Monika Winklmeier

arxiv:1410.2305 v2 · 2014-10-08 · 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{JPGZWGY3D3FV7ZCFHRF44YZFQR}

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	2026-05-18T02:18:31.433552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bcd9b1b1b1ecb5fe4453c4bce63258447b8fc2209ff6a38d4cfd5fd76ed357f

Aliases

arxiv: 1410.2305 · arxiv_version: 1410.2305v2 · doi: 10.48550/arxiv.1410.2305 · pith_short_12: JPGZWGY3D3FV · pith_short_16: JPGZWGY3D3FV7ZCF · pith_short_8: JPGZWGY3

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/JPGZWGY3D3FV7ZCFHRF44YZFQR \
  | 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: 4bcd9b1b1b1ecb5fe4453c4bce63258447b8fc2209ff6a38d4cfd5fd76ed357f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "668d87df023801e255b2488e0ce178c1c48c3b8b4e10b7eeae9ef107f7125f63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-08T22:27:25Z",
    "title_canon_sha256": "b27d28527a177c6e804c5853325bc0e8efca4f6d46de68678f28ae7086fa6259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2305",
    "kind": "arxiv",
    "version": 2
  }
}