Pith Number

pith:ROUIJG3N

pith:2014:ROUIJG3NZBVYKPICFVOBNEVHY5

not attested not anchored not stored refs pending

Complete Monotonicity of classical theta functions and applications

A. Raouf Chouikha

arxiv:1409.1498 v1 · 2014-09-04 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROUIJG3NZBVYKPICFVOBNEVHY5}

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	2026-05-18T02:43:18.480102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ba8849b6dc86b853d022d5c1692a7c75e6a1563237d598b66b5a6456748b375

Aliases

arxiv: 1409.1498 · arxiv_version: 1409.1498v1 · doi: 10.48550/arxiv.1409.1498 · pith_short_12: ROUIJG3NZBVY · pith_short_16: ROUIJG3NZBVYKPIC · pith_short_8: ROUIJG3N

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/ROUIJG3NZBVYKPICFVOBNEVHY5 \
  | 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: 8ba8849b6dc86b853d022d5c1692a7c75e6a1563237d598b66b5a6456748b375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e07c58af41ec9deeb3dbaae6a45c89cc4b9847ed86e916c7bc66e098c3b3309",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-09-04T17:23:52Z",
    "title_canon_sha256": "c7746f5c702497e199ee0f09ef6733404f2fc42e889bb5d7e1a16eae01cbb5da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1498",
    "kind": "arxiv",
    "version": 1
  }
}