Pith Number

pith:ISSHPYHD

pith:2026:ISSHPYHDPQEBHTOL6U76L3Z4XG

not attested not anchored not stored refs pending

Optimal Consumption and Retirement Time under Shortfall Risk Measure

Lijun Bo, Tingting Zhang, Yijie Huang

arxiv:2606.18935 v1 · 2026-06-17 · math.OC · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ISSHPYHDPQEBHTOL6U76L3Z4XG}

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	2026-06-19T16:11:52.279948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44a477e0e37c0813cdcbf53fe5ef3cb9a8831f9756bda54c3647d2810754db35

Aliases

arxiv: 2606.18935 · arxiv_version: 2606.18935v1 · doi: 10.48550/arxiv.2606.18935 · pith_short_12: ISSHPYHDPQEB · pith_short_16: ISSHPYHDPQEBHTOL · pith_short_8: ISSHPYHD

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/ISSHPYHDPQEBHTOL6U76L3Z4XG \
  | 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: 44a477e0e37c0813cdcbf53fe5ef3cb9a8831f9756bda54c3647d2810754db35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489d6b8ddfbe56983505e6743f8cb3ca2f70919e72c0a130e89eef8dcecda9f8",
    "cross_cats_sorted": [
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-17T11:16:16Z",
    "title_canon_sha256": "a152f5b151375cd4906236f764080f58cc5f6be69d7d3bbffd69b27c1ecf2619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18935",
    "kind": "arxiv",
    "version": 1
  }
}