Pith Number

pith:TJXG543A

pith:2016:TJXG543AODEJMFVSYFSRNF55PZ

not attested not anchored not stored refs pending

Calls, zonoids, peacocks and log-concavity

Michael R. Tehranchi

arxiv:1610.09306 v1 · 2016-10-28 · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJXG543AODEJMFVSYFSRNF55PZ}

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	2026-05-18T01:00:58.508906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a6e6ef36070c89616b2c1651697bd7e4676fd223c2dbefda4c7b8dd45b0ecca

Aliases

arxiv: 1610.09306 · arxiv_version: 1610.09306v1 · doi: 10.48550/arxiv.1610.09306 · pith_short_12: TJXG543AODEJ · pith_short_16: TJXG543AODEJMFVS · pith_short_8: TJXG543A

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/TJXG543AODEJMFVSYFSRNF55PZ \
  | 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: 9a6e6ef36070c89616b2c1651697bd7e4676fd223c2dbefda4c7b8dd45b0ecca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb8fee4c29e10d1031d422fa1da54d9072c28f8586e5fde4b4f0232d406c72a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-10-28T16:37:24Z",
    "title_canon_sha256": "494871b15a76d0337a4b65429de1a6c113c2d07ea17fa7386dd8842ebcea85e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09306",
    "kind": "arxiv",
    "version": 1
  }
}