Pith Number

pith:CYZ4UJ4I

pith:2013:CYZ4UJ4IIN2L2ZUQFCGBCITVIF

not attested not anchored not stored refs pending

Estimates on the zeros of $E_2$

\'Arp\'ad T\'oth, Jonas Jermann, \"Ozlem Imamo\=glu

arxiv:1312.3119 v2 · 2013-12-11 · 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{CYZ4UJ4IIN2L2ZUQFCGBCITVIF}

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	2026-05-18T03:04:16.776402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1633ca27884374bd6690288c112275414c9071eda6e3c538f3ca01917a2f94e5

Aliases

arxiv: 1312.3119 · arxiv_version: 1312.3119v2 · doi: 10.48550/arxiv.1312.3119 · pith_short_12: CYZ4UJ4IIN2L · pith_short_16: CYZ4UJ4IIN2L2ZUQ · pith_short_8: CYZ4UJ4I

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/CYZ4UJ4IIN2L2ZUQFCGBCITVIF \
  | 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: 1633ca27884374bd6690288c112275414c9071eda6e3c538f3ca01917a2f94e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dfeb9244f6ba018e39eba3e9a9b0d37aee4e046db0e6494ef32ead776a182c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-11T11:26:09Z",
    "title_canon_sha256": "f0080282830880b0b9d874324d5b12193cca08b3d7246955500359a293ff5c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3119",
    "kind": "arxiv",
    "version": 2
  }
}