Pith Number

pith:XAQUGJNQ

pith:2020:XAQUGJNQGS2NX7OLJCGYECQKX4

not attested not anchored not stored refs pending

Motivic fundamental groups of CM elliptic curves and geometry of Bianchi hyperbolic threefolds

Nikolay Malkin

arxiv:2010.07238 v1 · 2020-10-14 · math.AG · 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{XAQUGJNQGS2NX7OLJCGYECQKX4}

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	2026-07-05T01:43:03.801831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8214325b034b4dbfdcb488d820a0abf05a2759aff0b2fca9037fa0b20c066dd

Aliases

arxiv: 2010.07238 · arxiv_version: 2010.07238v1 · doi: 10.48550/arxiv.2010.07238 · pith_short_12: XAQUGJNQGS2N · pith_short_16: XAQUGJNQGS2NX7OL · pith_short_8: XAQUGJNQ

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/XAQUGJNQGS2NX7OLJCGYECQKX4 \
  | 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: b8214325b034b4dbfdcb488d820a0abf05a2759aff0b2fca9037fa0b20c066dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6828ca0ae0f23bf833692441d7b6e58a4e8939bb369c9d44c39348654d16603",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-10-14T16:54:10Z",
    "title_canon_sha256": "488c84d204193ea33dcafda63c4f2ebc8bf6415e81196251833ad2609e87cc3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07238",
    "kind": "arxiv",
    "version": 1
  }
}