Pith Number

pith:V5IDSZOH

pith:2026:V5IDSZOHYG7XUJCSW4K5CFUAG3

not attested not anchored not stored refs pending

Discontinuous Wealth-Gradient Transition Driving Cooperation

Deok-Sun Lee, Hyeong-Chai Jeong, Hyun Gyu Lee

arxiv:2603.10488 v1 · 2026-03-11 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5IDSZOHYG7XUJCSW4K5CFUAG3}

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	2026-06-23T02:13:22.352500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af503965c7c1bf7a2452b715d1168036d94c404db22f1e3115a020c60fec3caa

Aliases

arxiv: 2603.10488 · arxiv_version: 2603.10488v1 · doi: 10.48550/arxiv.2603.10488 · pith_short_12: V5IDSZOHYG7X · pith_short_16: V5IDSZOHYG7XUJCS · pith_short_8: V5IDSZOH

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/V5IDSZOHYG7XUJCSW4K5CFUAG3 \
  | 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: af503965c7c1bf7a2452b715d1168036d94c404db22f1e3115a020c60fec3caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be666e4af67c01a635ab964a0d1bc6cdae2e775e7db2531ab0c6c9f9b3b3be02",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-03-11T07:23:51Z",
    "title_canon_sha256": "195bf8ca57572dc38d52a1ec8486f326a3351e1694a2473d065dbf84ad0d4381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.10488",
    "kind": "arxiv",
    "version": 1
  }
}