Pith Number

pith:GFPVII6G

pith:2026:GFPVII6GXDKGL35BYEHWOSVF74

not attested not anchored not stored refs pending

Birational and $\mathbf{A}^1$-invariant lattices in the cohomology of the structure sheaf over non-archimedean fields

Alberto Merici, Kay R\"ulling, Shuji Saito

arxiv:2605.22046 v1 · 2026-05-21 · 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{GFPVII6GXDKGL35BYEHWOSVF74}

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.

Receipt and verification

First computed	2026-05-22T01:04:22.194736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

315f5423c6b8d465efa1c10f674aa5ff30484ef4bf64babe60608a12b6c6411c

Aliases

arxiv: 2605.22046 · arxiv_version: 2605.22046v1 · doi: 10.48550/arxiv.2605.22046 · pith_short_12: GFPVII6GXDKG · pith_short_16: GFPVII6GXDKGL35B · pith_short_8: GFPVII6G

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/GFPVII6GXDKGL35BYEHWOSVF74 \
  | 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: 315f5423c6b8d465efa1c10f674aa5ff30484ef4bf64babe60608a12b6c6411c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "240598b877b4dd15c1085555b05b8b3c60ee353470fa2a77985f3996bfe1bc33",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-21T06:34:46Z",
    "title_canon_sha256": "e8daca90f0a1351504352b63f9c3116a72ccea965e874d66eccd00643f2710d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22046",
    "kind": "arxiv",
    "version": 1
  }
}