Pith Number

pith:MH65JN5K

pith:2014:MH65JN5KRK5YUFGI5FD7QDBBTM

not attested not anchored not stored refs pending

Cube Sum Problem and an Explicit Gross-Zagier Formula

Jie Shu, Li Cai, Ye Tian

arxiv:1412.1950 v1 · 2014-12-05 · 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{MH65JN5KRK5YUFGI5FD7QDBBTM}

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	2026-05-18T02:32:05.729344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61fdd4b7aa8abb8a14c8e947f80c219b0455163c26b1fd8e80dbe46d78e92ccd

Aliases

arxiv: 1412.1950 · arxiv_version: 1412.1950v1 · doi: 10.48550/arxiv.1412.1950 · pith_short_12: MH65JN5KRK5Y · pith_short_16: MH65JN5KRK5YUFGI · pith_short_8: MH65JN5K

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/MH65JN5KRK5YUFGI5FD7QDBBTM \
  | 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: 61fdd4b7aa8abb8a14c8e947f80c219b0455163c26b1fd8e80dbe46d78e92ccd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08a924237ff89a4960704c10d18c26e040236419998279ed682d0bda6cc50db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-05T10:58:53Z",
    "title_canon_sha256": "015a26a22d40f6c54539fbeb7eeaee53235fffe3dd798260cc6d9d532aa5e2c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1950",
    "kind": "arxiv",
    "version": 1
  }
}