Pith Number

pith:GPETU2IG

pith:2014:GPETU2IGGLPNBGXMRPYCXKE4AH

not attested not anchored not stored refs pending

Tate Trees for Elliptic Fibrations with Rank one Mordell-Weil group

Moritz Kuntzler, Sakura Schafer-Nameki

arxiv:1406.5174 v2 · 2014-06-19 · hep-th · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GPETU2IGGLPNBGXMRPYCXKE4AH}

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	2026-05-18T02:30:15.514056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c93a690632ded09aec8bf02ba89c01e88108a117e673fa687bc18ea9a52270

Aliases

arxiv: 1406.5174 · arxiv_version: 1406.5174v2 · doi: 10.48550/arxiv.1406.5174 · pith_short_12: GPETU2IGGLPN · pith_short_16: GPETU2IGGLPNBGXM · pith_short_8: GPETU2IG

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/GPETU2IGGLPNBGXMRPYCXKE4AH \
  | 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: 33c93a690632ded09aec8bf02ba89c01e88108a117e673fa687bc18ea9a52270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80da717f32aaf6f75c8c3b0b24f9ec2c43ea17162986e10e2b7b31036433bda7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-06-19T19:59:15Z",
    "title_canon_sha256": "cefb020ccea10a9a3b5b1211de644a8c288f9193c154a2fce7fa27573cfb89b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5174",
    "kind": "arxiv",
    "version": 2
  }
}