Pith Number

pith:BT6IGXD5

pith:2017:BT6IGXD5RG4LFIUPP5GB4MUKGC

not attested not anchored not stored refs pending

Analytic and arithmetic properties of the $(\Gamma,\chi)$-automorphic reproducing kernel function

A. El Fardi, A. Ghanmi, L. Imlal, M. Souid El Ainin

arxiv:1705.04887 v1 · 2017-05-13 · 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{BT6IGXD5RG4LFIUPP5GB4MUKGC}

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	2026-05-18T00:44:34.456626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cfc835c7d89b8b2a28f7f4c1e328a309c664708ae5b2a74512443878e1a81b3

Aliases

arxiv: 1705.04887 · arxiv_version: 1705.04887v1 · doi: 10.48550/arxiv.1705.04887 · pith_short_12: BT6IGXD5RG4L · pith_short_16: BT6IGXD5RG4LFIUP · pith_short_8: BT6IGXD5

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/BT6IGXD5RG4LFIUPP5GB4MUKGC \
  | 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: 0cfc835c7d89b8b2a28f7f4c1e328a309c664708ae5b2a74512443878e1a81b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b189e8c911655948d030f0723803f36346b7d54ea9633161413824541cc28c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-05-13T21:32:44Z",
    "title_canon_sha256": "4a59ff9d2e0ed28138ebefe1c2f4dd1b43ea0851bd7d6b0a4e4fef51e6d4abc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04887",
    "kind": "arxiv",
    "version": 1
  }
}