Pith Number

pith:GUWF47TH

pith:2012:GUWF47THWHD6MCFSDATH7FVMGO

not attested not anchored not stored refs pending

On an integral equation for the free-boundary of stochastic, irreversible investment problems

Giorgio Ferrari

arxiv:1211.0412 v3 · 2012-11-02 · 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{GUWF47THWHD6MCFSDATH7FVMGO}

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	2026-05-18T02:29:08.524820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

352c5e7e67b1c7e608b218267f96ac3396e7b3fcd9486eccc7407d6f21a686f6

Aliases

arxiv: 1211.0412 · arxiv_version: 1211.0412v3 · doi: 10.48550/arxiv.1211.0412 · pith_short_12: GUWF47THWHD6 · pith_short_16: GUWF47THWHD6MCFS · pith_short_8: GUWF47TH

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/GUWF47THWHD6MCFSDATH7FVMGO \
  | 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: 352c5e7e67b1c7e608b218267f96ac3396e7b3fcd9486eccc7407d6f21a686f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6c6c3dc155576dc305a3684b90816293f39517fe7d2c0f08c9b01ed6b01f6d",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2012-11-02T10:33:59Z",
    "title_canon_sha256": "d10163a2f1f5339fd1c413e77caa03843e455951baa0f212cdf8037417e2334b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0412",
    "kind": "arxiv",
    "version": 3
  }
}