Pith Number

pith:6ANV5HTK

pith:2015:6ANV5HTKJSXCDE73XIJOF2KNWF

not attested not anchored not stored refs pending

The Entropic Measure Transform

Anastasis Kratsios, Cody Hyndman, Renjie Wang

arxiv:1511.06032 v2 · 2015-11-19 · q-fin.MF · math.OC · 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{6ANV5HTKJSXCDE73XIJOF2KNWF}

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	2026-05-17T23:53:06.974503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f01b5e9e6a4cae2193fbba12e2e94db1422a160fb727400d96d7ad4dcb83630c

Aliases

arxiv: 1511.06032 · arxiv_version: 1511.06032v2 · doi: 10.48550/arxiv.1511.06032 · pith_short_12: 6ANV5HTKJSXC · pith_short_16: 6ANV5HTKJSXCDE73 · pith_short_8: 6ANV5HTK

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/6ANV5HTKJSXCDE73XIJOF2KNWF \
  | 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: f01b5e9e6a4cae2193fbba12e2e94db1422a160fb727400d96d7ad4dcb83630c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a24ef23b664fc26cb943d8033aff9427e3bf8812975e2dcc74f736a892daac1",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-11-19T00:29:56Z",
    "title_canon_sha256": "c83c54489a05afa46fa7c7e18827f43a83ca5e74cfcd31d032e37110bae7bbbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06032",
    "kind": "arxiv",
    "version": 2
  }
}