Pith Number

pith:IH6II4MG

pith:2020:IH6II4MGGOPCFX6622MTS7DIHX

not attested not anchored not stored refs pending

$q$-deformation with ($\varphi, \Gamma$) structure of the de Rham cohomology of the Legendre family of elliptic curves

Ryotaro Shirai

arxiv:2006.12310 v1 · 2020-06-22 · 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{IH6II4MGGOPCFX6622MTS7DIHX}

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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

1 paper in Pith

Explicit classes in Habiro cohomology

Receipt and verification

First computed	2026-07-05T01:11:59.382710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41fc847186339e22dfded699397c683de70b6b9b0f1456cda31e1655863a1b20

Aliases

arxiv: 2006.12310 · arxiv_version: 2006.12310v1 · doi: 10.48550/arxiv.2006.12310 · pith_short_12: IH6II4MGGOPC · pith_short_16: IH6II4MGGOPCFX66 · pith_short_8: IH6II4MG

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/IH6II4MGGOPCFX6622MTS7DIHX \
  | 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: 41fc847186339e22dfded699397c683de70b6b9b0f1456cda31e1655863a1b20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16cbd8a2f1c95e7d0f2d302109db2ff85d13b0531cbc01dbec92caef46ba306f",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-06-22T14:45:12Z",
    "title_canon_sha256": "60dbf7a19143b932d12e6c3cccd3b279c761a62b059e59e415ba21b5973ff1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.12310",
    "kind": "arxiv",
    "version": 1
  }
}