Pith Number

pith:36ST72RY

pith:2021:36ST72RY4D2TIY3NASLG2KTG4A

not attested not anchored not stored refs pending

On a congruence involving harmonic series and Bernoulli numbers

Shane Chern

arxiv:2110.09629 v1 · 2021-10-18 · 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{36ST72RY4D2TIY3NASLG2KTG4A}

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	2026-07-05T03:23:57.158673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa53fea38e0f534636d04966d2a66e000b6e06c077fbcb55fead221b024c6ed

Aliases

arxiv: 2110.09629 · arxiv_version: 2110.09629v1 · doi: 10.48550/arxiv.2110.09629 · pith_short_12: 36ST72RY4D2T · pith_short_16: 36ST72RY4D2TIY3N · pith_short_8: 36ST72RY

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/36ST72RY4D2TIY3NASLG2KTG4A \
  | 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: dfa53fea38e0f534636d04966d2a66e000b6e06c077fbcb55fead221b024c6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad55e5fc6f99ca6b6c8d83bfc17404d44bf60c5f16f486134ecbe5b28c6d181a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-10-18T21:39:12Z",
    "title_canon_sha256": "5273f175fbc274aaf7afa96431d9311cfab41f482ad6072ce71ac5e0a0fdb659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.09629",
    "kind": "arxiv",
    "version": 1
  }
}