Pith Number

pith:IXBC55VS

pith:2013:IXBC55VSVSIUXKH5K7HRZ4R6Z7

not attested not anchored not stored refs pending

On the zeros of the Macdonald functions

Hiroyuki Matsumoto, Tomoyuki Shirai, Yuji Hamana

arxiv:1302.5154 v1 · 2013-02-21 · 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{IXBC55VSVSIUXKH5K7HRZ4R6Z7}

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	2026-05-18T01:20:47.653302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c22ef6b2ac914ba8fd57cf1cf23ecfebfbbdc062a4d08d29bccdf5ab82f6c4

Aliases

arxiv: 1302.5154 · arxiv_version: 1302.5154v1 · doi: 10.48550/arxiv.1302.5154 · pith_short_12: IXBC55VSVSIU · pith_short_16: IXBC55VSVSIUXKH5 · pith_short_8: IXBC55VS

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/IXBC55VSVSIUXKH5K7HRZ4R6Z7 \
  | 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: 45c22ef6b2ac914ba8fd57cf1cf23ecfebfbbdc062a4d08d29bccdf5ab82f6c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8932a107d25f0c18da580f9e82b5adcbc24c97bd9ec75ff918e10a81954ac4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-21T00:55:32Z",
    "title_canon_sha256": "b30daf40e1fe718c291e389753549320fe5dd92a9c3ad11548b76323dd4d5e1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5154",
    "kind": "arxiv",
    "version": 1
  }
}