Pith Number

pith:TYQGPT7X

pith:2019:TYQGPT7X5MSIZXAWJHK2UVXB3J

not attested not anchored not stored refs pending

A geometrical summation method for the Riemann z\^eta function

Ulysse Reglade

arxiv:1903.10853 v1 · 2019-03-23 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYQGPT7X5MSIZXAWJHK2UVXB3J}

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	2026-05-17T23:50:17.546972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2067cff7eb248cdc1649d5aa56e1da44f164381cbcb567b69f510db4cf4e0b

Aliases

arxiv: 1903.10853 · arxiv_version: 1903.10853v1 · doi: 10.48550/arxiv.1903.10853 · pith_short_12: TYQGPT7X5MSI · pith_short_16: TYQGPT7X5MSIZXAW · pith_short_8: TYQGPT7X

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/TYQGPT7X5MSIZXAWJHK2UVXB3J \
  | 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: 9e2067cff7eb248cdc1649d5aa56e1da44f164381cbcb567b69f510db4cf4e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c25f3892f3252e11a55217cbc98b364431b6f67c71610e66b92078375b89ce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-03-23T14:56:53Z",
    "title_canon_sha256": "908873a1282ef76e8d49c55c25496a02b1af3ec390edf02a5bb122461047a1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10853",
    "kind": "arxiv",
    "version": 1
  }
}