Pith Number

pith:MM33POAR

pith:2012:MM33POARZKKI7H6Y6YZBAHVQ7Z

not attested not anchored not stored refs pending

Homogenization and asymptotics for small transaction costs: the multidimensional case

Dylan Possama\"i, H. Mete Soner, Nizar Touzi

arxiv:1212.6275 v2 · 2012-12-26 · math.AP · math.OC · 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{MM33POARZKKI7H6Y6YZBAHVQ7Z}

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	2026-05-18T03:35:53.578874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6337b7b811ca948f9fd8f632101eb0fe67242c803a0cb37ac90fae835eccae97

Aliases

arxiv: 1212.6275 · arxiv_version: 1212.6275v2 · doi: 10.48550/arxiv.1212.6275 · pith_short_12: MM33POARZKKI · pith_short_16: MM33POARZKKI7H6Y · pith_short_8: MM33POAR

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/MM33POARZKKI7H6Y6YZBAHVQ7Z \
  | 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: 6337b7b811ca948f9fd8f632101eb0fe67242c803a0cb37ac90fae835eccae97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d68b93eae875903bab686309707969570e51eb088c9a74253eb3e4fb391f7cb",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-26T22:29:44Z",
    "title_canon_sha256": "90fc8dde86a8f4c6b502332d5cdd7e83f416b9bd3ef894b0d12a43c45dc30fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6275",
    "kind": "arxiv",
    "version": 2
  }
}