Pith Number

pith:B4NTABTI

pith:2026:B4NTABTIVTZFZS5D25B4KXZP2A

not attested not anchored not stored refs pending

Non-liftable varieties via etale cohomology rings

Runjie Hu, Siqing Zhang

arxiv:2607.18588 v1 · 2026-07-20 · 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{B4NTABTIVTZFZS5D25B4KXZP2A}

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	2026-07-22T00:22:55.574218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f1b300668acf25ccba3d743c55f2fd03f532b6dff86db3de463ea62012934a1

Aliases

arxiv: 2607.18588 · arxiv_version: 2607.18588v1 · doi: 10.48550/arxiv.2607.18588 · pith_short_12: B4NTABTIVTZF · pith_short_16: B4NTABTIVTZFZS5D · pith_short_8: B4NTABTI

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/B4NTABTIVTZFZS5D25B4KXZP2A \
  | 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: 0f1b300668acf25ccba3d743c55f2fd03f532b6dff86db3de463ea62012934a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e16224dacef7516d927d3854bbbd6da5a015beb5032823bd2850d1298bf7ec3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-20T23:48:34Z",
    "title_canon_sha256": "063548d44b8a1e86462e6e6ad2619668c4faacf2a5957cc23cfe8ae46946645b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18588",
    "kind": "arxiv",
    "version": 1
  }
}