Pith Number

pith:QBV535ZL

pith:2014:QBV535ZL5EWDEURU55E36OISAH

not attested not anchored not stored refs pending

Low-lying zeros of elliptic curve L-functions: Beyond the ratios conjecture

Anders S\"odergren, Daniel Fiorilli, James Parks

arxiv:1405.5110 v1 · 2014-05-20 · 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{QBV535ZL5EWDEURU55E36OISAH}

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	2026-05-18T01:20:37.156812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

806bddf72be92c325234ef49bf391201ff2925f90609378a320a20ee925ce398

Aliases

arxiv: 1405.5110 · arxiv_version: 1405.5110v1 · doi: 10.48550/arxiv.1405.5110 · pith_short_12: QBV535ZL5EWD · pith_short_16: QBV535ZL5EWDEURU · pith_short_8: QBV535ZL

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/QBV535ZL5EWDEURU55E36OISAH \
  | 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: 806bddf72be92c325234ef49bf391201ff2925f90609378a320a20ee925ce398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b60c40e610618913b3e6ec0d08c4cccfbd72a9969588e9d98d8bf1b67b66cfc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-20T15:03:42Z",
    "title_canon_sha256": "05a037d86b27d8af605a090b70c464a3769aa8bc9d82c4ff6a94c70cd59a753e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5110",
    "kind": "arxiv",
    "version": 1
  }
}