Pith Number

pith:4X3GZ3MO

pith:2015:4X3GZ3MOJC756TXAYTX2NDJ5NV

not attested not anchored not stored refs pending

Automorphism groups of Gaussian chain graph models

Jan Draisma, Piotr Zwiernik

arxiv:1501.03013 v1 · 2015-01-13 · math.ST · 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{4X3GZ3MOJC756TXAYTX2NDJ5NV}

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	2026-05-18T02:29:30.679567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f66ced8e48bfdf4ee0c4efa68d3d6d7846df7b2a8f999d2128b4e19f61c061

Aliases

arxiv: 1501.03013 · arxiv_version: 1501.03013v1 · doi: 10.48550/arxiv.1501.03013 · pith_short_12: 4X3GZ3MOJC75 · pith_short_16: 4X3GZ3MOJC756TXA · pith_short_8: 4X3GZ3MO

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/4X3GZ3MOJC756TXAYTX2NDJ5NV \
  | 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: e5f66ced8e48bfdf4ee0c4efa68d3d6d7846df7b2a8f999d2128b4e19f61c061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cd220cae3831fb4c3d0c0b72e10511bd4822ff3d1052fb1d43a5748b761922a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-01-13T14:14:49Z",
    "title_canon_sha256": "0d5f6df0e1f403fc5c5a196df70a416030574bde742bf58317eb0156360d4231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03013",
    "kind": "arxiv",
    "version": 1
  }
}