Pith Number

pith:PB2H5VCF

pith:2012:PB2H5VCFXFVO2SXL7JXJ6DR2SJ

not attested not anchored not stored refs pending

Characterization of the optimal boundaries in reversible investment problems

CREST), Huyen Pham (LPMA, Salvatore Federico

arxiv:1203.0895 v2 · 2012-03-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PB2H5VCFXFVO2SXL7JXJ6DR2SJ}

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	2026-05-18T03:19:13.426621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78747ed445b96aed4aebfa6e9f0e3a925c252737a187f535ebb4d68893a9b3f8

Aliases

arxiv: 1203.0895 · arxiv_version: 1203.0895v2 · doi: 10.48550/arxiv.1203.0895 · pith_short_12: PB2H5VCFXFVO · pith_short_16: PB2H5VCFXFVO2SXL · pith_short_8: PB2H5VCF

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/PB2H5VCFXFVO2SXL7JXJ6DR2SJ \
  | 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: 78747ed445b96aed4aebfa6e9f0e3a925c252737a187f535ebb4d68893a9b3f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da2a555abaf76f05f08f7c017990eacc7152540a7b9c1d1feed30022d6666207",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-05T12:56:58Z",
    "title_canon_sha256": "4bca3ed2df1d3ff71b23ed76fb35d1197a9ed0f8bf80c2e3f6a342e4acd0ffe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0895",
    "kind": "arxiv",
    "version": 2
  }
}