Pith Number

pith:2YY2OL7H

pith:2025:2YY2OL7H3HOGCZXXX624BDMMVI

not attested not anchored not stored refs pending

Bifurcation in optimal retirement

Bushra Shehnam Ashraf, Thomas S. Salisbury

arxiv:2506.02155 v1 · 2025-06-02 · 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{2YY2OL7H3HOGCZXXX624BDMMVI}

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	2026-07-05T11:14:33.454855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d631a72fe7d9dc6166f7bfb5c08d8caa079b5ba6dd9fb24d00f43e6e14440a49

Aliases

arxiv: 2506.02155 · arxiv_version: 2506.02155v1 · doi: 10.48550/arxiv.2506.02155 · pith_short_12: 2YY2OL7H3HOG · pith_short_16: 2YY2OL7H3HOGCZXX · pith_short_8: 2YY2OL7H

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/2YY2OL7H3HOGCZXXX624BDMMVI \
  | 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: d631a72fe7d9dc6166f7bfb5c08d8caa079b5ba6dd9fb24d00f43e6e14440a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07ac37abdd2b45383839eb1838379f21d896d7e426455d5132a4adf60d07071b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2025-06-02T18:36:38Z",
    "title_canon_sha256": "cac61b4ded2c416c90388ffe88f19ac1a62d317a4d3b647e999959b9ab060553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02155",
    "kind": "arxiv",
    "version": 1
  }
}