Pith Number

pith:5WUEDVE3

pith:2023:5WUEDVE3SYGGGN76T3ISZJNVH4

not attested not anchored not stored refs pending

Absolute calculus and prismatic crystals on cyclotomic rings

Adolfo Quir\'os, Bernard Le Stum, Michel Gros

arxiv:2310.13790 v3 · 2023-10-20 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WUEDVE3SYGGGN76T3ISZJNVH4}

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

Prismatic $F$-crystals and Wach modules

Receipt and verification

First computed	2026-07-05T11:28:57.231019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda841d49b960c6337fe9ed12ca5b53f2e63badf1ebacf82db90bcdcc189cb44

Aliases

arxiv: 2310.13790 · arxiv_version: 2310.13790v3 · doi: 10.48550/arxiv.2310.13790 · pith_short_12: 5WUEDVE3SYGG · pith_short_16: 5WUEDVE3SYGGGN76 · pith_short_8: 5WUEDVE3

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/5WUEDVE3SYGGGN76T3ISZJNVH4 \
  | 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: eda841d49b960c6337fe9ed12ca5b53f2e63badf1ebacf82db90bcdcc189cb44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40a1cc760653e70c3d3cb5048c3049be7bfb0be6fad889b13fb9590193db7b2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-10-20T19:48:02Z",
    "title_canon_sha256": "c5f9a64c5d1452442bd60edbc3a05fde240cb332fd2d46ae61ae823318f8328f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.13790",
    "kind": "arxiv",
    "version": 3
  }
}