Pith Number

pith:FYGRATGK

pith:2014:FYGRATGKEGNR6NXB5SO4N3LHNI

not attested not anchored not stored refs pending

On Nekov\'{a}\v{r}'s heights, exceptional zeros and a conjecture of Mazur-Tate-Teitelbaum

Kazim B\"uy\"ukboduk

arxiv:1405.2643 v2 · 2014-05-12 · 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{FYGRATGKEGNR6NXB5SO4N3LHNI}

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	2026-05-18T02:29:55.025604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0d104cca219b1f36e1ec9dc6ed676a00f419d1a9032464e0fbb5c7a0b7ccbc

Aliases

arxiv: 1405.2643 · arxiv_version: 1405.2643v2 · doi: 10.48550/arxiv.1405.2643 · pith_short_12: FYGRATGKEGNR · pith_short_16: FYGRATGKEGNR6NXB · pith_short_8: FYGRATGK

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/FYGRATGKEGNR6NXB5SO4N3LHNI \
  | 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: 2e0d104cca219b1f36e1ec9dc6ed676a00f419d1a9032464e0fbb5c7a0b7ccbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285c281ccc047d24b74cd867da0149c0eda70f6791a4d50e9ffea0d29e2600d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-12T06:54:46Z",
    "title_canon_sha256": "d31e23e4a03a130d3dbe379bc0fa0f21f564e308f3260c2d4ad2e0bf00971902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2643",
    "kind": "arxiv",
    "version": 2
  }
}