Pith Number

pith:VMJBWWR3

pith:2026:VMJBWWR3Y3EJYKZGYEMR2KT3NJ

not attested not anchored not stored refs pending

Proof of Stake economy under centralized exchanges--a mean field model

Wenpin Tang

arxiv:2606.09003 v1 · 2026-06-08 · q-fin.MF · math.OC · q-fin.TR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMJBWWR3Y3EJYKZGYEMR2KT3NJ}

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	2026-06-09T02:07:52.896054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab121b5a3bc6c89c2b26c1191d2a7b6a5c1a43d8f0b79f72f3944be715715ac3

Aliases

arxiv: 2606.09003 · arxiv_version: 2606.09003v1 · doi: 10.48550/arxiv.2606.09003 · pith_short_12: VMJBWWR3Y3EJ · pith_short_16: VMJBWWR3Y3EJYKZG · pith_short_8: VMJBWWR3

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/VMJBWWR3Y3EJYKZGYEMR2KT3NJ \
  | 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: ab121b5a3bc6c89c2b26c1191d2a7b6a5c1a43d8f0b79f72f3944be715715ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4a06467c3c76b06e315801f63acdec4e294583c0f849d68a18142ea6e48bb7",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.TR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2026-06-08T04:03:17Z",
    "title_canon_sha256": "8956ca88c13fcca2d4c0b26048c3ce5d060ec0719cfbd6e90e0fc404f22c8f5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09003",
    "kind": "arxiv",
    "version": 1
  }
}