Pith Number

pith:G6F7TBYG

pith:2026:G6F7TBYGX7XRCOWJYTRWTLWVNE

not attested not anchored not stored refs pending

A rigidity theorem for $\pi_*$-\'etale $\mathbb E_k$-algebras

XianSheng Li

arxiv:2607.22680 v1 · 2026-07-12 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6F7TBYGX7XRCOWJYTRWTLWVNE}

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	2026-07-28T00:21:48.782049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

378bf98706bfef113ac9c4e369aed5691beb6d3753ca7d4a2d469f3360ee1ab3

Aliases

arxiv: 2607.22680 · arxiv_version: 2607.22680v1 · doi: 10.48550/arxiv.2607.22680 · pith_short_12: G6F7TBYGX7XR · pith_short_16: G6F7TBYGX7XRCOWJ · pith_short_8: G6F7TBYG

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/G6F7TBYGX7XRCOWJYTRWTLWVNE \
  | 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: 378bf98706bfef113ac9c4e369aed5691beb6d3753ca7d4a2d469f3360ee1ab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fa815cf95e2bcaeef66ea6cebc0916b33b0c4b12dfc24d3cd16473ceeb9fb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-12T15:12:29Z",
    "title_canon_sha256": "65a8aa129600c8e3ced21a91f1789809b57b367fd557ec4d4ba0e58528eacbae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22680",
    "kind": "arxiv",
    "version": 1
  }
}