Pith Number

pith:GFMDPGBX

pith:2012:GFMDPGBXQSKO6Y6ZZU5LNML2YU

not attested not anchored not stored refs pending

Dynamic quasi-concave performance measures

Jocelyne Bion-Nadal, Sara Biagini

arxiv:1212.3958 v1 · 2012-12-17 · q-fin.PM · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GFMDPGBXQSKO6Y6ZZU5LNML2YU}

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	2026-05-18T03:38:21.922681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31583798378494ef63d9cd3ab6b17ac528be4bc3ea41da624a6527b6fef5db47

Aliases

arxiv: 1212.3958 · arxiv_version: 1212.3958v1 · doi: 10.48550/arxiv.1212.3958 · pith_short_12: GFMDPGBXQSKO · pith_short_16: GFMDPGBXQSKO6Y6Z · pith_short_8: GFMDPGBX

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/GFMDPGBXQSKO6Y6ZZU5LNML2YU \
  | 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: 31583798378494ef63d9cd3ab6b17ac528be4bc3ea41da624a6527b6fef5db47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb8e7330f585eb8848ec112227d1d38d6952a3c09af3081c8a598e1b919e432",
    "cross_cats_sorted": [
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2012-12-17T11:13:00Z",
    "title_canon_sha256": "a3b8be586107ea9ce54ced410e9accc79cd505c12a0d7fb14e6995ed94f40918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3958",
    "kind": "arxiv",
    "version": 1
  }
}