Pith Number

pith:TGM2UDHP

pith:2022:TGM2UDHPT3DFWGQI4Q32UKKA3B

not attested not anchored not stored refs pending

Parametric Euler $T$-sums of odd harmonic numbers

Ce Xu, Lu Yan

arxiv:2203.13996 v1 · 2022-03-26 · 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{TGM2UDHPT3DFWGQI4Q32UKKA3B}

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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.

Cited by

1 paper in Pith

An explicit Galois descent for multiple $t$-values of maximal height

Receipt and verification

First computed	2026-07-05T04:08:45.899058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9999aa0cef9ec65b1a08e437aa2940d8739dc7a46c72e34036bce7c2697f8953

Aliases

arxiv: 2203.13996 · arxiv_version: 2203.13996v1 · doi: 10.48550/arxiv.2203.13996 · pith_short_12: TGM2UDHPT3DF · pith_short_16: TGM2UDHPT3DFWGQI · pith_short_8: TGM2UDHP

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/TGM2UDHPT3DFWGQI4Q32UKKA3B \
  | 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: 9999aa0cef9ec65b1a08e437aa2940d8739dc7a46c72e34036bce7c2697f8953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ae99ae77b8403b270247ead91d1b90bfa7a3e3fa85ac801155ef25ff2d4003a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-03-26T05:27:32Z",
    "title_canon_sha256": "8ea79b2015e3130631b2a5546a345f3f0ef044524c1cae82945f0496e1a6ea69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.13996",
    "kind": "arxiv",
    "version": 1
  }
}