Pith Number

pith:ZHRGRHB4

pith:2026:ZHRGRHB4CE2UC6D2DUDKDT5U2N

not attested not anchored not stored refs pending

Accelerating Returns and the Qualitative Engine for Science

Guojun Liao (Department of Mathematics, The University of Texas at Arlington)

arxiv:2606.26359 v1 · 2026-06-24 · 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{ZHRGRHB4CE2UC6D2DUDKDT5U2N}

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	2026-06-26T00:15:37.871512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9e2689c3c113541787a1d06a1cfb4d36281aeb0c1535f32c9171b8b529d8d2a

Aliases

arxiv: 2606.26359 · arxiv_version: 2606.26359v1 · doi: 10.48550/arxiv.2606.26359 · pith_short_12: ZHRGRHB4CE2U · pith_short_16: ZHRGRHB4CE2UC6D2 · pith_short_8: ZHRGRHB4

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/ZHRGRHB4CE2UC6D2DUDKDT5U2N \
  | 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: c9e2689c3c113541787a1d06a1cfb4d36281aeb0c1535f32c9171b8b529d8d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf9e6bb04ab1066d5b7e77e8757b7b5946cbb6c7c54c3b237aa4e57680f0ea9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-24T20:14:37Z",
    "title_canon_sha256": "11f8ed8a5bf15e48133729b898242a60548d49810e07e41ddf7eff84c5615eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26359",
    "kind": "arxiv",
    "version": 1
  }
}