Pith Number

pith:VZU73XLE

pith:2025:VZU73XLEP5W7WQH6KAYCC3FCVE

not attested not anchored not stored refs pending

Heterogeneous Agents in the Data Economy

Yongheng Hu

arxiv:2509.09656 v1 · 2025-09-11 · econ.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZU73XLEP5W7WQH6KAYCC3FCVE}

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	2026-07-05T12:09:40.360966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae69fddd647f6dfb40fe5030216ca2a931871191f44364a9ef43fe466533782d

Aliases

arxiv: 2509.09656 · arxiv_version: 2509.09656v1 · doi: 10.48550/arxiv.2509.09656 · pith_short_12: VZU73XLEP5W7 · pith_short_16: VZU73XLEP5W7WQH6 · pith_short_8: VZU73XLE

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/VZU73XLEP5W7WQH6KAYCC3FCVE \
  | 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: ae69fddd647f6dfb40fe5030216ca2a931871191f44364a9ef43fe466533782d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b3620e2ebba32063ce30612abe9fbbaf7abcfc8a1ab7a69ef20a2580bb5d5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "econ.TH",
    "submitted_at": "2025-09-11T17:50:51Z",
    "title_canon_sha256": "7eb6a9ccdb8bacdd23142ff9bbc68a8d91d90d6837f1dd4c1c688c1d70d61705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.09656",
    "kind": "arxiv",
    "version": 1
  }
}