Pith Number

pith:6KNAPE6M

pith:2021:6KNAPE6MHNRFVS4Y46EIQKLT4X

not attested not anchored not stored refs pending

New relations on zeta and $L$ functions

Masato Kobayashi

arxiv:2108.02342 v1 · 2021-08-05 · 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{6KNAPE6MHNRFVS4Y46EIQKLT4X}

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	2026-07-05T03:03:31.934890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f29a0793cc3b625acb98e788882973e5d2605f2aed4a021c04f92e8f7770ec51

Aliases

arxiv: 2108.02342 · arxiv_version: 2108.02342v1 · doi: 10.48550/arxiv.2108.02342 · pith_short_12: 6KNAPE6MHNRF · pith_short_16: 6KNAPE6MHNRFVS4Y · pith_short_8: 6KNAPE6M

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/6KNAPE6MHNRFVS4Y46EIQKLT4X \
  | 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: f29a0793cc3b625acb98e788882973e5d2605f2aed4a021c04f92e8f7770ec51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "601fa5368e68ca3b37f30240bcc288a6c2c5f6b8f797b984797365bf4d23ca92",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-05T02:42:23Z",
    "title_canon_sha256": "91564f276da7a06411360881268c5ce0c6a3d52fa69eecc797d1953b44a1b006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02342",
    "kind": "arxiv",
    "version": 1
  }
}