Pith Number

pith:36Q3FZT7

pith:2026:36Q3FZT7E6UIP7MOQ5E7VXIUNR

not attested not anchored not stored refs pending

Calibrated Probability Forecast Sequences and Measure-Valued Martingales

Christopher Ferro, Thomas Wilkinson

arxiv:2606.31621 v1 · 2026-06-30 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36Q3FZT7E6UIP7MOQ5E7VXIUNR}

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	2026-07-01T01:18:09.481619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa1b2e67f27a887fd8e8749fadd146c4dc61d6d40b19f1eb2ab2d1e7166705d

Aliases

arxiv: 2606.31621 · arxiv_version: 2606.31621v1 · doi: 10.48550/arxiv.2606.31621 · pith_short_12: 36Q3FZT7E6UI · pith_short_16: 36Q3FZT7E6UIP7MO · pith_short_8: 36Q3FZT7

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/36Q3FZT7E6UIP7MOQ5E7VXIUNR \
  | 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: dfa1b2e67f27a887fd8e8749fadd146c4dc61d6d40b19f1eb2ab2d1e7166705d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "885c1ff86e518ba9c9a717a445e04707b228a8fac1d918654075ff9b59dda884",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-30T13:09:09Z",
    "title_canon_sha256": "90f7d8865a1ebf9635eb1f828a9909154f6127927bce55560be6e6a9b3ed5072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31621",
    "kind": "arxiv",
    "version": 1
  }
}