Pith Number

pith:TG55QILM

pith:2017:TG55QILMOOWSKDDCFAMFB7WJJO

not attested not anchored not stored refs pending

A generalized modified Bessel function and a higher level analogue of the theta transformation formula

Aashita Kesarwani, Atul Dixit, Nico M. Temme, Victor H. Moll

arxiv:1706.05363 v2 · 2017-06-16 · math.NT · 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{TG55QILMOOWSKDDCFAMFB7WJJO}

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	2026-05-18T00:36:24.035282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99bbd8216c73ad250c62281850fec94bb201ed9d65a2589f49f664ec5a26bfdb

Aliases

arxiv: 1706.05363 · arxiv_version: 1706.05363v2 · doi: 10.48550/arxiv.1706.05363 · pith_short_12: TG55QILMOOWS · pith_short_16: TG55QILMOOWSKDDC · pith_short_8: TG55QILM

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/TG55QILMOOWSKDDCFAMFB7WJJO \
  | 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: 99bbd8216c73ad250c62281850fec94bb201ed9d65a2589f49f664ec5a26bfdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "598adde0ccc23c646a16463c11bf866258acb3e2f00ce368a65a48a079cdc55d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-16T17:37:14Z",
    "title_canon_sha256": "28c227c706f8c14742cd21d38648e5bf38a28c65966af9697fca304039dcbb97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05363",
    "kind": "arxiv",
    "version": 2
  }
}