Pith Number

pith:36T54GEJ

pith:2014:36T54GEJDMOXQXJYNGD3M7YXOU

not attested not anchored not stored refs pending

A survey on the theory of universality for zeta and $L$-functions

Kohji Matsumoto

arxiv:1407.4216 v1 · 2014-07-16 · 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{36T54GEJDMOXQXJYNGD3M7YXOU}

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	2026-05-18T02:47:30.863600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa7de18891b1d785d386987b67f17750d7a91e6ca08b6fa5613d7dd3f1394d2

Aliases

arxiv: 1407.4216 · arxiv_version: 1407.4216v1 · doi: 10.48550/arxiv.1407.4216 · pith_short_12: 36T54GEJDMOX · pith_short_16: 36T54GEJDMOXQXJY · pith_short_8: 36T54GEJ

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/36T54GEJDMOXQXJYNGD3M7YXOU \
  | 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: dfa7de18891b1d785d386987b67f17750d7a91e6ca08b6fa5613d7dd3f1394d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917d0b497f7715ef52a616011e775e28c4a42282c9bddfa4b113712a7d9ebe9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-16T07:20:54Z",
    "title_canon_sha256": "444771d429043450d8745ea4e6c62501ee9b56f28d3a470ecbd967850f5c1deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4216",
    "kind": "arxiv",
    "version": 1
  }
}