Pith Number

pith:QBPY37SA

pith:2026:QBPY37SAFK4KZUR4XTXDLNIACX

not attested not anchored not stored refs pending

Topping Up and Optimal Redistribution

Mitchell Watt, Zi Yang Kang

arxiv:2606.28919 v1 · 2026-06-27 · econ.GN · econ.TH · q-fin.EC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBPY37SAFK4KZUR4XTXDLNIACX}

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	2026-06-30T01:17:45.388617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

805f8dfe402ab8acd23cbcee35b50015cf1fd0220818a41db256bb89039fcb15

Aliases

arxiv: 2606.28919 · arxiv_version: 2606.28919v1 · doi: 10.48550/arxiv.2606.28919 · pith_short_12: QBPY37SAFK4K · pith_short_16: QBPY37SAFK4KZUR4 · pith_short_8: QBPY37SA

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/QBPY37SAFK4KZUR4XTXDLNIACX \
  | 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: 805f8dfe402ab8acd23cbcee35b50015cf1fd0220818a41db256bb89039fcb15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d50b6f6a3e496b3c90aaead4f596da984fe62185465a9b2c8b38bf8d67aa819",
    "cross_cats_sorted": [
      "econ.TH",
      "q-fin.EC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "econ.GN",
    "submitted_at": "2026-06-27T13:50:15Z",
    "title_canon_sha256": "617f1bd97c22af4910656b65779b9d4d626bb46d6a7033f65a164c71a15efe4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28919",
    "kind": "arxiv",
    "version": 1
  }
}