Pith Number

pith:3JXTBXWU

pith:2025:3JXTBXWUWDVX4AWCLQEYUIOLA5

not attested not anchored not stored refs pending

Strong Detection Threshold for Correlated Erd\H{o}s-R\'enyi Graphs with Constant Average Degree

Chenxu Feng

arxiv:2506.12752 v1 · 2025-06-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JXTBXWUWDVX4AWCLQEYUIOLA5}

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	2026-07-05T11:21:58.902547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da6f30ded4b0eb7e02c25c098a21cb076f4c9495ae5fc6a1566ecf97effaa1a1

Aliases

arxiv: 2506.12752 · arxiv_version: 2506.12752v1 · doi: 10.48550/arxiv.2506.12752 · pith_short_12: 3JXTBXWUWDVX · pith_short_16: 3JXTBXWUWDVX4AWC · pith_short_8: 3JXTBXWU

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/3JXTBXWUWDVX4AWCLQEYUIOLA5 \
  | 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: da6f30ded4b0eb7e02c25c098a21cb076f4c9495ae5fc6a1566ecf97effaa1a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee171f31847d9c67fcf6a90b1b87fbbebb5ff30a6047ec8196e369ea7d725053",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-15T07:19:33Z",
    "title_canon_sha256": "3526689a771c0664641193ee46783299eb2cc19cae155140bfba03a3e003dabb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12752",
    "kind": "arxiv",
    "version": 1
  }
}