Pith Number

pith:MQK6N2EM

pith:2011:MQK6N2EMENBBARH5VP3NAGFOVY

not attested not anchored not stored refs pending

A Solution to Schroeder's Equation in Several Variables

Robert A. Bridges

arxiv:1106.3370 v1 · 2011-06-16 · math.CV · 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{MQK6N2EMENBBARH5VP3NAGFOVY}

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	2026-05-18T04:19:52.899388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6415e6e88c23421044fdabf6d018aeae1071d1e3e2d00aaf47fff2c583ccf8cd

Aliases

arxiv: 1106.3370 · arxiv_version: 1106.3370v1 · doi: 10.48550/arxiv.1106.3370 · pith_short_12: MQK6N2EMENBB · pith_short_16: MQK6N2EMENBBARH5 · pith_short_8: MQK6N2EM

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/MQK6N2EMENBBARH5VP3NAGFOVY \
  | 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: 6415e6e88c23421044fdabf6d018aeae1071d1e3e2d00aaf47fff2c583ccf8cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7afec2cd829df795c56a3b04b86c9f2cbec2857e0ead997b3295e4052dc27ca",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-06-16T23:38:29Z",
    "title_canon_sha256": "66cdbb686bf0c9d46a43cf2c5858d463210a1eaec0c7d1ab26622ae914fbe45d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3370",
    "kind": "arxiv",
    "version": 1
  }
}