Pith Number

pith:L5DO4V7G

pith:2019:L5DO4V7GM7GVO363GARPC2BPTT

not attested not anchored not stored refs pending

Weighted sum formulas of multiple t-values with even arguments

Ce Xu, Zhonghua Li

arxiv:1908.03200 v1 · 2019-08-05 · 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{L5DO4V7GM7GVO363GARPC2BPTT}

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	2026-07-04T23:52:27.174954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f46ee57e667cd576fdb3022f1682f9cef1bc051c60ad5591147a9b220f79ed7

Aliases

arxiv: 1908.03200 · arxiv_version: 1908.03200v1 · doi: 10.48550/arxiv.1908.03200 · pith_short_12: L5DO4V7GM7GV · pith_short_16: L5DO4V7GM7GVO363 · pith_short_8: L5DO4V7G

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/L5DO4V7GM7GVO363GARPC2BPTT \
  | 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: 5f46ee57e667cd576fdb3022f1682f9cef1bc051c60ad5591147a9b220f79ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eb6377814da3acf2037f8fc02e5bc4ac530ffa5e925f80989d3d8487a179fdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-05T11:07:24Z",
    "title_canon_sha256": "c40748d7c0d58e4fa3f5687efb0fe45974189219dde96f1e80d398184c07f6c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03200",
    "kind": "arxiv",
    "version": 1
  }
}