Pith Number

pith:N4TLROJY

pith:2025:N4TLROJY7NAD3QRD4U6J7MKWIT

not attested not anchored not stored refs pending

A stacky approach to prismatic crystals via $q$-prism charts

Zeyu Liu

arxiv:2504.07005 v2 · 2025-04-09 · 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{N4TLROJY7NAD3QRD4U6J7MKWIT}

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

1 paper in Pith

Syntomification and crystalline local systems

Receipt and verification

First computed	2026-07-05T10:48:30.911099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f26b8b938fb403dc223e53c9fb15644d601e914af946fd8aefed4e274f3ed4a

Aliases

arxiv: 2504.07005 · arxiv_version: 2504.07005v2 · doi: 10.48550/arxiv.2504.07005 · pith_short_12: N4TLROJY7NAD · pith_short_16: N4TLROJY7NAD3QRD · pith_short_8: N4TLROJY

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/N4TLROJY7NAD3QRD4U6J7MKWIT \
  | 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: 6f26b8b938fb403dc223e53c9fb15644d601e914af946fd8aefed4e274f3ed4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c4bf0acbe896dad4d0a6fc3aad433c9a984e743170585495f1505e748ecc295",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-09T16:24:51Z",
    "title_canon_sha256": "fc2436f89133b7636f08176cfaa947bb5388f3855a242c9b83ffe162d2feaa5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.07005",
    "kind": "arxiv",
    "version": 2
  }
}