Pith Number

pith:7RZ6CYBI

pith:2012:7RZ6CYBIZ5P3UB5TOJLJEBUMKV

not attested not anchored not stored refs pending

Viscosity characterization of the value function of an investment-consumption problem in presence of illiquid assets

Paul Gassiat, Salvatore Federico

arxiv:1211.1286 v1 · 2012-11-06 · 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{7RZ6CYBIZ5P3UB5TOJLJEBUMKV}

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	2026-05-18T03:41:21.915571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc73e16028cf5fba07b3725692068c5569d6a39366ef6db154e9b8106e481887

Aliases

arxiv: 1211.1286 · arxiv_version: 1211.1286v1 · doi: 10.48550/arxiv.1211.1286 · pith_short_12: 7RZ6CYBIZ5P3 · pith_short_16: 7RZ6CYBIZ5P3UB5T · pith_short_8: 7RZ6CYBI

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/7RZ6CYBIZ5P3UB5TOJLJEBUMKV \
  | 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: fc73e16028cf5fba07b3725692068c5569d6a39366ef6db154e9b8106e481887

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a5424d4fd0a0dd13927c11830656b29db058640bcae99cdff814cf06e60b89d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2012-11-06T16:08:56Z",
    "title_canon_sha256": "60eddae82426b7998e5d341b65ae0011ce01add3afb4fbf36a98fe2cc86e9536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1286",
    "kind": "arxiv",
    "version": 1
  }
}