Pith Number

pith:O7W2I6GD

pith:2017:O7W2I6GDGZCDIX4WRHP2UXASXZ

not attested not anchored not stored refs pending

Ascending chain condition for $F$-pure thresholds on a fixed strongly $F$-regular germ

Kenta Sato

arxiv:1710.05331 v4 · 2017-10-15 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7W2I6GDGZCDIX4WRHP2UXASXZ}

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	2026-05-17T23:45:00.063060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77eda478c33644345f9689dfaa5c12be4af7c4b2e634de9c42da91b1591b3306

Aliases

arxiv: 1710.05331 · arxiv_version: 1710.05331v4 · doi: 10.48550/arxiv.1710.05331 · pith_short_12: O7W2I6GDGZCD · pith_short_16: O7W2I6GDGZCDIX4W · pith_short_8: O7W2I6GD

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/O7W2I6GDGZCDIX4WRHP2UXASXZ \
  | 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: 77eda478c33644345f9689dfaa5c12be4af7c4b2e634de9c42da91b1591b3306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8471d32620386df138fcc70bf4008530a2ac65c148800d4a1f17a72be3a63813",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-15T13:33:43Z",
    "title_canon_sha256": "b383f08932418825cc3d7c4615ee39034078be32a7931a089744d4429d266119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05331",
    "kind": "arxiv",
    "version": 4
  }
}