Pith Number

pith:NRR4GNYI

pith:2021:NRR4GNYIZ3XYAIDLK4OMOX6LPF

not attested not anchored not stored refs pending

Community detection and portfolio optimization

Chao Wang, Gang-Jin Wang, H. Eugene Stanley, Lin Chen, Longfeng Zhao

arxiv:2112.13383 v1 · 2021-12-26 · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NRR4GNYIZ3XYAIDLK4OMOX6LPF}

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	2026-07-05T03:43:52.756923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c63c33708ceef80206b571cc75fcb7958d3cd83980cc55d1b3e32ef2c4b4960

Aliases

arxiv: 2112.13383 · arxiv_version: 2112.13383v1 · doi: 10.48550/arxiv.2112.13383 · pith_short_12: NRR4GNYIZ3XY · pith_short_16: NRR4GNYIZ3XYAIDL · pith_short_8: NRR4GNYI

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/NRR4GNYIZ3XYAIDLK4OMOX6LPF \
  | 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: 6c63c33708ceef80206b571cc75fcb7958d3cd83980cc55d1b3e32ef2c4b4960

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af165cc3d70b2b6c0c8ccf6004d197c277fb07ce8eef9b33a59aaebd18b99307",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2021-12-26T14:18:19Z",
    "title_canon_sha256": "0435f7ab4baad70e64fd10b9b974fd531cf3796b9be5984c1a31b9d2bbf8d34d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13383",
    "kind": "arxiv",
    "version": 1
  }
}