Pith Number

pith:XTXP6BM2

pith:2025:XTXP6BM2ARHWOAGEWAB62CVXWB

not attested not anchored not stored refs pending

AI's Euclid's Elements Moment: From Language Models to Computable Thought

Lingfeng Tao, Xinmin Fang, Zhengxiong Li

arxiv:2506.23080 v2 · 2025-06-29 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTXP6BM2ARHWOAGEWAB62CVXWB}

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	2026-07-05T11:34:52.604104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bceeff059a044f6700c4b003ed0ab7b04aef4bf65e6ec3fabdb2d9b7472517fa

Aliases

arxiv: 2506.23080 · arxiv_version: 2506.23080v2 · doi: 10.48550/arxiv.2506.23080 · pith_short_12: XTXP6BM2ARHW · pith_short_16: XTXP6BM2ARHWOAGE · pith_short_8: XTXP6BM2

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/XTXP6BM2ARHWOAGEWAB62CVXWB \
  | 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: bceeff059a044f6700c4b003ed0ab7b04aef4bf65e6ec3fabdb2d9b7472517fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "920cf9b73b46cdfab064c13e18f0353c438b7b55e7117e6014a2d7ef919e5794",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-06-29T04:14:19Z",
    "title_canon_sha256": "9d310e78a987a50e1c6d180df1d72f154b2dfb924f68c5ffbbe008705aee4a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23080",
    "kind": "arxiv",
    "version": 2
  }
}