Pith Number

pith:X4HLCOB3

pith:2007:X4HLCOB3NYBLN2YWJTGIQX3P2T

not attested not anchored not stored refs pending

Correspondence between Lifetime Minimum Wealth and Utility of Consumption

Erhan Bayraktar, Virginia R. Young

arxiv:math/0703820 v1 · 2007-03-27 · math.OC · math.PR · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X4HLCOB3NYBLN2YWJTGIQX3P2T}

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	2026-07-04T15:33:03.560793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf0eb1383b6e02b6eb164ccc885f6fd4f146d98abf7c4707f7fdd16976bca231

Aliases

arxiv: math/0703820 · arxiv_version: math/0703820v1 · doi: 10.48550/arxiv.math/0703820 · pith_short_12: X4HLCOB3NYBL · pith_short_16: X4HLCOB3NYBLN2YW · pith_short_8: X4HLCOB3

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/X4HLCOB3NYBLN2YWJTGIQX3P2T \
  | 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: bf0eb1383b6e02b6eb164ccc885f6fd4f146d98abf7c4707f7fdd16976bca231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "698a74fe0689c790acade5875cd4be203f92f0e8cb4843ae76811059b052a90b",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.GN"
    ],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2007-03-27T22:39:32Z",
    "title_canon_sha256": "ff8c0f03dcaf0a2967f4aca878bac8743020ae376b9f741085f8a516b2301a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703820",
    "kind": "arxiv",
    "version": 1
  }
}