Pith Number

pith:J75BDQCN

pith:2018:J75BDQCNT7RJTO2OM4L3I4I5BF

not attested not anchored not stored refs pending

Trace formulas applied to the Riemann $\zeta$-function

Fritz Gesztesy, Hagop Tossounian, Klaus Kirsten, Lance Littlejohn, Lotfi Hermi, Mark S. Ashbaugh

arxiv:1812.00459 v1 · 2018-12-02 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J75BDQCNT7RJTO2OM4L3I4I5BF}

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	2026-05-17T23:59:21.288307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffa11c04d9fe299bb4e6717b4711d094e96b8beb13cea9d6f50fb3d70e179c3

Aliases

arxiv: 1812.00459 · arxiv_version: 1812.00459v1 · doi: 10.48550/arxiv.1812.00459 · pith_short_12: J75BDQCNT7RJ · pith_short_16: J75BDQCNT7RJTO2O · pith_short_8: J75BDQCN

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/J75BDQCNT7RJTO2OM4L3I4I5BF \
  | 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: 4ffa11c04d9fe299bb4e6717b4711d094e96b8beb13cea9d6f50fb3d70e179c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "722cffd547e1e26abe07464e4d79e6cd2cb892c969b163642ea380d0d69af978",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-12-02T20:22:28Z",
    "title_canon_sha256": "b75727c25898dd54c2f7c2bb4080c7105b32103532f69fae77c40eae7b22f0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00459",
    "kind": "arxiv",
    "version": 1
  }
}