Pith Number

pith:3ZIY5CIB

pith:2021:3ZIY5CIB7VX6AFMO73F2WOQEB5

not attested not anchored not stored refs pending

Asymptotic in a class of network models with an increasing sub-Gamma degree sequence

Haoyu Wei, Jiaxin Guo, Jing Luo, Xiaoyu Lei

arxiv:2111.01301 v4 · 2021-11-02 · math.ST · econ.EM · stat.ML · stat.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{3ZIY5CIB7VX6AFMO73F2WOQEB5}

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	2026-07-05T07:11:32.417227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de518e8901fd6fe0158efecbab3a040f57e7c547cf547e5df5171ae6ed559510

Aliases

arxiv: 2111.01301 · arxiv_version: 2111.01301v4 · doi: 10.48550/arxiv.2111.01301 · pith_short_12: 3ZIY5CIB7VX6 · pith_short_16: 3ZIY5CIB7VX6AFMO · pith_short_8: 3ZIY5CIB

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/3ZIY5CIB7VX6AFMO73F2WOQEB5 \
  | 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: de518e8901fd6fe0158efecbab3a040f57e7c547cf547e5df5171ae6ed559510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04cd5770f4f35bc2cb038fedeba191aae7504a07090bc7328c09d42ee6393a3d",
    "cross_cats_sorted": [
      "econ.EM",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-11-02T00:04:41Z",
    "title_canon_sha256": "fca29b25f8ef9ffc42112a83be1761d4657b584aaa77bb899b18cbcdccfa7513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01301",
    "kind": "arxiv",
    "version": 4
  }
}