Pith Number

pith:3FK6U4DS

pith:2015:3FK6U4DSIYGMTLB6ICXGO2JQYP

not attested not anchored not stored refs pending

The remaining cases of the Kramer-Tunnell conjecture

Kestutis Cesnavicius, Naoki Imai

arxiv:1504.02546 v2 · 2015-04-10 · 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{3FK6U4DSIYGMTLB6ICXGO2JQYP}

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	2026-05-17T23:53:34.559573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d955ea7072460cc9ac3e40ae676930c3f393b6fd3462b44dd3749de53e02bda2

Aliases

arxiv: 1504.02546 · arxiv_version: 1504.02546v2 · doi: 10.48550/arxiv.1504.02546 · pith_short_12: 3FK6U4DSIYGM · pith_short_16: 3FK6U4DSIYGMTLB6 · pith_short_8: 3FK6U4DS

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/3FK6U4DSIYGMTLB6ICXGO2JQYP \
  | 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: d955ea7072460cc9ac3e40ae676930c3f393b6fd3462b44dd3749de53e02bda2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f913d08e141fe86acffc879a4eaa8ce98388d2a0e958fd9063981fd444daf36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-10T04:01:01Z",
    "title_canon_sha256": "a064d996b8b808f6747682601fb636fc9adce1f630c49665c78ebe78117d47c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02546",
    "kind": "arxiv",
    "version": 2
  }
}