Pith Number

pith:7HUUZGBB

pith:2025:7HUUZGBBTPRXY5XSQKOLEI4OXH

not attested not anchored not stored refs pending

A mathematical study of the excess growth rate

Steven Campbell, Ting-Kam Leonard Wong

arxiv:2510.25740 v2 · 2025-10-29 · cs.IT · math.IT · math.PR · q-fin.MF · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HUUZGBBTPRXY5XSQKOLEI4OXH}

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	2026-06-12T01:08:17.819748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9e94c98219be37c76f2829cb2238eb9c0fb034e10ece8e72ac75c8d7ca32849

Aliases

arxiv: 2510.25740 · arxiv_version: 2510.25740v2 · doi: 10.48550/arxiv.2510.25740 · pith_short_12: 7HUUZGBBTPRX · pith_short_16: 7HUUZGBBTPRXY5XS · pith_short_8: 7HUUZGBB

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/7HUUZGBBTPRXY5XSQKOLEI4OXH \
  | 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: f9e94c98219be37c76f2829cb2238eb9c0fb034e10ece8e72ac75c8d7ca32849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a73149409412e2b2be2b480f3f4ac23b56b30a7630a9adde3dbdf9f9d668f61",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "q-fin.MF",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-10-29T17:43:40Z",
    "title_canon_sha256": "291615d3e01fbed465fa323b63e43f88bbeeb2d1da7049f0d524cc42584097af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.25740",
    "kind": "arxiv",
    "version": 2
  }
}