Pith Number

pith:GZZND67K

pith:2016:GZZND67K3IK7NL3T4MZMD4SXSC

not attested not anchored not stored refs pending

An analytic derivation of the variance for the Abelian distribution

Anirban Das

arxiv:1602.04887 v1 · 2016-02-16 · 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{GZZND67K3IK7NL3T4MZMD4SXSC}

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	2026-05-18T01:20:37.927232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3672d1fbeada15f6af73e332c1f257909e86f86030ca605865f2382eb8b44d12

Aliases

arxiv: 1602.04887 · arxiv_version: 1602.04887v1 · doi: 10.48550/arxiv.1602.04887 · pith_short_12: GZZND67K3IK7 · pith_short_16: GZZND67K3IK7NL3T · pith_short_8: GZZND67K

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/GZZND67K3IK7NL3T4MZMD4SXSC \
  | 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: 3672d1fbeada15f6af73e332c1f257909e86f86030ca605865f2382eb8b44d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b231232e9c76480354dc0382fdf3d657ac3cc5d30f42496da3fe0f54eb9b6e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-16T02:24:08Z",
    "title_canon_sha256": "a890adbf0d858e45934c3de6d13a9f900b0f2950bca21416275eef94a43eb4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04887",
    "kind": "arxiv",
    "version": 1
  }
}