Pith Number

pith:LC7WWSRS

pith:2024:LC7WWSRSXIFQYSZHTLOKAK4J2R

not attested not anchored not stored refs pending

A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve

Arthur-C\'esar Le Bras, Johannes Ansch\"utz, Lucas Mann

arxiv:2412.20968 v1 · 2024-12-30 · 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{LC7WWSRSXIFQYSZHTLOKAK4J2R}

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

Categorical K\"unneth formulas for analytic stacks

Receipt and verification

First computed	2026-07-05T09:55:25.573177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58bf6b4a32ba0b0c4b279adca02b89d468079b48d0f81c6c2a3ca6f4eea61128

Aliases

arxiv: 2412.20968 · arxiv_version: 2412.20968v1 · doi: 10.48550/arxiv.2412.20968 · pith_short_12: LC7WWSRSXIFQ · pith_short_16: LC7WWSRSXIFQYSZH · pith_short_8: LC7WWSRS

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/LC7WWSRSXIFQYSZHTLOKAK4J2R \
  | 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: 58bf6b4a32ba0b0c4b279adca02b89d468079b48d0f81c6c2a3ca6f4eea61128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28da62fe4977890d2f3bb86f5b2070446d1db706313171b5687f14f1b07cc2e5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-30T14:15:20Z",
    "title_canon_sha256": "30b17aca33f7d76bb2f79231e920b17987113028cfbd0c900749e98d35d25b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20968",
    "kind": "arxiv",
    "version": 1
  }
}