Pith Number

pith:2FSE55OL

pith:2025:2FSE55OLGB2YVDHETCBANZWDCL

not attested not anchored not stored refs pending

Approximately Dual and Pseudo-Dual Probabilistic Frames

Clayton Shonkwiler, Dongwei Chen, Emily J. King

arxiv:2505.13885 v2 · 2025-05-20 · 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{2FSE55OLGB2YVDHETCBANZWDCL}

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	2026-05-20T00:02:04.359206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1644ef5cb30758a8ce4988206e6c312d3956c7c99eb1c5b87114ebc3e277b6d

Aliases

arxiv: 2505.13885 · arxiv_version: 2505.13885v2 · doi: 10.48550/arxiv.2505.13885 · pith_short_12: 2FSE55OLGB2Y · pith_short_16: 2FSE55OLGB2YVDHE · pith_short_8: 2FSE55OL

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/2FSE55OLGB2YVDHETCBANZWDCL \
  | 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: d1644ef5cb30758a8ce4988206e6c312d3956c7c99eb1c5b87114ebc3e277b6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77ddcd19ca04554980b8e39416a003bfed7d5ca1d942e54f4d1d64173aa5b7f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-20T03:46:47Z",
    "title_canon_sha256": "0a599dac062e41a04da9cd188b77c8bd035f1f1e865a11c9f8aea536332eebb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.13885",
    "kind": "arxiv",
    "version": 2
  }
}