Pith Number

pith:Y22I3E4W

pith:2020:Y22I3E4W2JAU7YG7AAYRCS65DA

not attested not anchored not stored refs pending

Comparison of prismatic cohomology and derived de Rham cohomology

Shizhang Li, Tong Liu

arxiv:2012.14064 v3 · 2020-12-28 · math.AG · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y22I3E4W2JAU7YG7AAYRCS65DA}

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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

An integral comparison of crystalline and de Rham cohomology

Receipt and verification

First computed	2026-07-05T04:12:34.200518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b48d9396d2414fe0df0031114bdd1827e2d71e4361da29c7add9071581ae36

Aliases

arxiv: 2012.14064 · arxiv_version: 2012.14064v3 · doi: 10.48550/arxiv.2012.14064 · pith_short_12: Y22I3E4W2JAU · pith_short_16: Y22I3E4W2JAU7YG7 · pith_short_8: Y22I3E4W

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/Y22I3E4W2JAU7YG7AAYRCS65DA \
  | 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: c6b48d9396d2414fe0df0031114bdd1827e2d71e4361da29c7add9071581ae36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d6cc8cb6037b7e30f27e8b9d50bb4ba59f9f6af734eade94be4dfd474814b6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-12-28T02:23:55Z",
    "title_canon_sha256": "99bf88766b8b88646ab1f46a09369bcc903d5f7f892633f424ab67c9b5eeca2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.14064",
    "kind": "arxiv",
    "version": 3
  }
}