Pith Number

pith:PUJGITPD

pith:2026:PUJGITPD3O77H7UKBTSDKAEAB5

not attested not anchored not stored refs pending

From token probabilities to calibrated confidence: An empirical study of mathematical question answering

Avery Ma, Leila Pishdad, Lorne Schell, Vin Bhaskara

arxiv:2608.07827 v1 · 2026-08-08 · cs.LG · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUJGITPD3O77H7UKBTSDKAEAB5}

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	2026-08-11T01:18:33.962282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d12644de3dbbff3fe8a0ce43500800f7dfbd74b00ce276421d9df0052b3669f

Aliases

arxiv: 2608.07827 · arxiv_version: 2608.07827v1 · doi: 10.48550/arxiv.2608.07827 · pith_short_12: PUJGITPD3O77 · pith_short_16: PUJGITPD3O77H7UK · pith_short_8: PUJGITPD

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/PUJGITPD3O77H7UKBTSDKAEAB5 \
  | 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: 7d12644de3dbbff3fe8a0ce43500800f7dfbd74b00ce276421d9df0052b3669f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4ffe2754a7fcaf8d4c3c9101ca16e13505c788433eee427f9f0239cbf29d941",
    "cross_cats_sorted": [
      "cs.CL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-08T00:00:19Z",
    "title_canon_sha256": "8ec5665932c28b45a3666224f43055ad55d7bf572c8c43a96e6441e5f78849a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07827",
    "kind": "arxiv",
    "version": 1
  }
}