Pith Number

pith:XNKZ666Z

pith:2016:XNKZ666ZSH77C6KO3Q7SFA2BHP

not attested not anchored not stored refs pending

Zeros of Ramanujan Type Entire Functions

Ruiming Zhang

arxiv:1603.04694 v2 · 2016-03-12 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNKZ666ZSH77C6KO3Q7SFA2BHP}

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	2026-05-18T01:18:59.832607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb559f7bd991fff1794edc3f2283413bc1931cd85f9b8b81a9a3798015bf7594

Aliases

arxiv: 1603.04694 · arxiv_version: 1603.04694v2 · doi: 10.48550/arxiv.1603.04694 · pith_short_12: XNKZ666ZSH77 · pith_short_16: XNKZ666ZSH77C6KO · pith_short_8: XNKZ666Z

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/XNKZ666ZSH77C6KO3Q7SFA2BHP \
  | 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: bb559f7bd991fff1794edc3f2283413bc1931cd85f9b8b81a9a3798015bf7594

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35c5450b31a0b5ece4a94aa913c77d3d776bcd67de17310f7e0890e1b518acdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-12T08:52:40Z",
    "title_canon_sha256": "be2b05ae039bcaec64d12ebecd6e7e7b972233760bef98219ec44b673d60a865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04694",
    "kind": "arxiv",
    "version": 2
  }
}