Pith Number

pith:UJHQLWEP

pith:2026:UJHQLWEPVYGIT7Q5HW65MN7CU6

not attested not anchored not stored refs pending

CurveShift: Is Agent Progress Scalar? Separating Level from Shape

BingXu Meng, Hanwen Xing, Jicheng Wang, Kumail Alhamoud, Pengyun Wang, Philip Torr, Xiang Li, Xiaomin Li, Xinyang Han, Xin Yu, Yuexing Hao

arxiv:2608.00355 v1 · 2026-07-31 · cs.CL · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJHQLWEPVYGIT7Q5HW65MN7CU6}

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	2026-08-04T00:35:22.144294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24f05d88fae0c89fe1d3dbdd637e2a7af6518ebf63fa2851270343b79180b83

Aliases

arxiv: 2608.00355 · arxiv_version: 2608.00355v1 · doi: 10.48550/arxiv.2608.00355 · pith_short_12: UJHQLWEPVYGI · pith_short_16: UJHQLWEPVYGIT7Q5 · pith_short_8: UJHQLWEP

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/UJHQLWEPVYGIT7Q5HW65MN7CU6 \
  | 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: a24f05d88fae0c89fe1d3dbdd637e2a7af6518ebf63fa2851270343b79180b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b31729d072ea35d52217b467e73bc8a4d09aacac2aa57aba1d3343a1c4baf46b",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-07-31T23:58:25Z",
    "title_canon_sha256": "a00c7b157d4a5ccb19d26d00d7c4c25d20a75dd405640e4ee3f5efa80fcc4faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00355",
    "kind": "arxiv",
    "version": 1
  }
}