Pith Number

pith:GY56VPHS

pith:2021:GY56VPHSVMU4O4XF5GBP5MLKZB

not attested not anchored not stored refs pending

Crystalline cohomology of rigid analytic spaces

Haoyang Guo

arxiv:2112.14304 v2 · 2021-12-28 · 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{GY56VPHSVMU4O4XF5GBP5MLKZB}

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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

On the Kummer pro-\'etale cohomology of $\mathbb B_{\operatorname{dR}}$

Receipt and verification

First computed	2026-07-05T09:12:51.518730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

363beabcf2ab29c772e5e982feb16ac84a1d8f0b0c03afa2203a04d348901b68

Aliases

arxiv: 2112.14304 · arxiv_version: 2112.14304v2 · doi: 10.48550/arxiv.2112.14304 · pith_short_12: GY56VPHSVMU4 · pith_short_16: GY56VPHSVMU4O4XF · pith_short_8: GY56VPHS

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/GY56VPHSVMU4O4XF5GBP5MLKZB \
  | 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: 363beabcf2ab29c772e5e982feb16ac84a1d8f0b0c03afa2203a04d348901b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "291a00df02facc78981a090b24441a823bd94badefef293bc6aa4636b3a44423",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-28T21:49:24Z",
    "title_canon_sha256": "eb80a67bca0b186b9f30efe6f3480010489bf12fd14078d19fa95837d42c183d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14304",
    "kind": "arxiv",
    "version": 2
  }
}