Pith Number

pith:FYL55FZA

pith:2011:FYL55FZAOGH6W5GEIUJF6JS2Y5

not attested not anchored not stored refs pending

An Explicit Example Of Optimal Portfolio-Consumption Choices With Habit Formation And Partial Observations

Xiang Yu

arxiv:1112.2939 v4 · 2011-12-13 · q-fin.PM · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYL55FZAOGH6W5GEIUJF6JS2Y5}

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	2026-05-18T02:45:32.427667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e17de9720718feb74c445125f265ac760750db0b91086ca09789d3d579288dd

Aliases

arxiv: 1112.2939 · arxiv_version: 1112.2939v4 · doi: 10.48550/arxiv.1112.2939 · pith_short_12: FYL55FZAOGH6 · pith_short_16: FYL55FZAOGH6W5GE · pith_short_8: FYL55FZA

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/FYL55FZAOGH6W5GEIUJF6JS2Y5 \
  | 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: 2e17de9720718feb74c445125f265ac760750db0b91086ca09789d3d579288dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f75218664c21142bb112cb4d1e1603fa293e9c51ef517e3548190198d5ab6f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2011-12-13T16:13:27Z",
    "title_canon_sha256": "fa04ba9ef25cec7558aa9ef779e0056239cc7a2e83f53be09361b82dcb7ad281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2939",
    "kind": "arxiv",
    "version": 4
  }
}