Pith Number

pith:JIFFBT7I

pith:2018:JIFFBT7I6IWUQCGYDX3OZMJTAS

not attested not anchored not stored refs pending

On Uniform Approximations of Normal Distributions By Jacobi Theta Functions

Ruiming Zhang

arxiv:1810.08535 v1 · 2018-10-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JIFFBT7I6IWUQCGYDX3OZMJTAS}

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	2026-05-18T00:02:47.852072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a0a50cfe8f22d4808d81df6ecb1330490553d911ab2d32bbeb0d4197915461f

Aliases

arxiv: 1810.08535 · arxiv_version: 1810.08535v1 · doi: 10.48550/arxiv.1810.08535 · pith_short_12: JIFFBT7I6IWU · pith_short_16: JIFFBT7I6IWUQCGY · pith_short_8: JIFFBT7I

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/JIFFBT7I6IWUQCGYDX3OZMJTAS \
  | 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: 4a0a50cfe8f22d4808d81df6ecb1330490553d911ab2d32bbeb0d4197915461f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66a14d96233c66bd04bb7807ab46e0c98835975f88372412694d7d06f3fe6b5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-12T13:23:13Z",
    "title_canon_sha256": "8eed3f119570f5cc6012aeea40c28c6dcbdc4fc1a236758fc85a54bb9188437f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08535",
    "kind": "arxiv",
    "version": 1
  }
}