Pith Number

pith:TG2ZT33R

pith:2018:TG2ZT33RFIVSZH4YLEFMZLWCUE

not attested not anchored not stored refs pending

A new understanding of $\zeta(k)$

Chenfeng He

arxiv:1812.06392 v3 · 2018-12-16 · 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{TG2ZT33RFIVSZH4YLEFMZLWCUE}

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	2026-05-17T23:51:30.525723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b599ef712a2b2c9f98590accaec2a1321669577ffcc2d2789240accb25ebe9

Aliases

arxiv: 1812.06392 · arxiv_version: 1812.06392v3 · doi: 10.48550/arxiv.1812.06392 · pith_short_12: TG2ZT33RFIVS · pith_short_16: TG2ZT33RFIVSZH4Y · pith_short_8: TG2ZT33R

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/TG2ZT33RFIVSZH4YLEFMZLWCUE \
  | 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: 99b599ef712a2b2c9f98590accaec2a1321669577ffcc2d2789240accb25ebe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804fa415bfd94e1ecff6e87990be05f201fea348b242a593c7a3f89c54b3b98e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-16T05:17:33Z",
    "title_canon_sha256": "7b4333832fe4efffea591e439e54e59f69de22ea4c1add7322c2deb0d5a204b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06392",
    "kind": "arxiv",
    "version": 3
  }
}