Pith Number

pith:IDNCEAZZ

pith:2026:IDNCEAZZKX2JBXDQTX6XWVFXUP

not attested not anchored not stored refs pending

Representation Robustness Under Executable Reasoning Constraints in Large Language Models for Mathematical Problem Solving

Diego Zapata-Rivera, Edith Aurora Graf, Liang Zhang, Sagnik Nath

arxiv:2607.20520 v1 · 2026-07-08 · cs.AI · cs.HC · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDNCEAZZKX2JBXDQTX6XWVFXUP}

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	2026-07-24T00:23:20.189783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40da22033955f490dc709dfd7b54b7a3c15f5843ab98652a40ca794c64a97806

Aliases

arxiv: 2607.20520 · arxiv_version: 2607.20520v1 · doi: 10.48550/arxiv.2607.20520 · pith_short_12: IDNCEAZZKX2J · pith_short_16: IDNCEAZZKX2JBXDQ · pith_short_8: IDNCEAZZ

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/IDNCEAZZKX2JBXDQTX6XWVFXUP \
  | 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: 40da22033955f490dc709dfd7b54b7a3c15f5843ab98652a40ca794c64a97806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b62f5ec653d2ccfc23c2037967d845915ffc69496bc9da86269d76310fd15ef",
    "cross_cats_sorted": [
      "cs.HC",
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-07-08T17:21:28Z",
    "title_canon_sha256": "17c77bd5870b01c20560bd811bd708319e7af4210b26ea37d09f6031935ecc64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20520",
    "kind": "arxiv",
    "version": 1
  }
}