Pith Number

pith:WBHTT4LH

pith:2022:WBHTT4LHV6RSQWTNV2WRMDHNLS

not attested not anchored not stored refs pending

Sums of Reciprocals of Recurrence Relations

Alicia Smith Reina, Eliel Sosis, Fengping Ren, Hao Cui, Irfan Durmi\'c, Lisa Liu, Qingcheng Hu, Sophia C. Davis, Steven J. Miller, Xiaoyu Cui

arxiv:2212.02639 v2 · 2022-12-05 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBHTT4LHV6RSQWTNV2WRMDHNLS}

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	2026-07-05T05:37:56.298259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b04f39f167afa3285a6daead160ced5cb8a180dcad7d8a6b7b699ecedaae5ccf

Aliases

arxiv: 2212.02639 · arxiv_version: 2212.02639v2 · doi: 10.48550/arxiv.2212.02639 · pith_short_12: WBHTT4LHV6RS · pith_short_16: WBHTT4LHV6RSQWTN · pith_short_8: WBHTT4LH

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/WBHTT4LHV6RSQWTNV2WRMDHNLS \
  | 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: b04f39f167afa3285a6daead160ced5cb8a180dcad7d8a6b7b699ecedaae5ccf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e1d1cccc513ce4f0e2ff6711e6ae8b40336a8d5e97f9b1908f3cfb51068b47e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-12-05T22:50:52Z",
    "title_canon_sha256": "cdf9a076bf4962b2b5e4cfdbf8c16929351d36ba874703579d2441252faf6350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.02639",
    "kind": "arxiv",
    "version": 2
  }
}