Pith Number

pith:XTOQTNPE

pith:2021:XTOQTNPEWV7MGFGR2RZ5XDN4PN

not attested not anchored not stored refs pending

Recent developments of the Uniform Mordell-Lang Conjecture

Ziyang Gao

arxiv:2104.03431 v5 · 2021-04-07 · math.NT · 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{XTOQTNPEWV7MGFGR2RZ5XDN4PN}

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.

Cited by

2 papers in Pith

Quantitativity in the Mordell Conjecture

Adelic Line Bundles, Arithmetic Positivity and Diophantine Geometry

Receipt and verification

First computed	2026-07-05T03:43:40.100283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcdd09b5e4b57ec314d1d473db8dbc7b6ee910d74d09a0c0aa6084304ce3c81b

Aliases

arxiv: 2104.03431 · arxiv_version: 2104.03431v5 · doi: 10.48550/arxiv.2104.03431 · pith_short_12: XTOQTNPEWV7M · pith_short_16: XTOQTNPEWV7MGFGR · pith_short_8: XTOQTNPE

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/XTOQTNPEWV7MGFGR2RZ5XDN4PN \
  | 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: bcdd09b5e4b57ec314d1d473db8dbc7b6ee910d74d09a0c0aa6084304ce3c81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f1ee8401ec8086b9a2840ebe2c3903290e82761eea5be754c5c3f75f14fd23",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-04-07T23:38:00Z",
    "title_canon_sha256": "6753f2fa9b4f746f7b458c9f3fe461c3b974a0be63398476bbee4d6011e035d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.03431",
    "kind": "arxiv",
    "version": 5
  }
}