Pith Number

pith:YTFLFM4I

pith:2018:YTFLFM4ILBUZVNFTD6ADAFXY2H

not attested not anchored not stored refs pending

Ascending chain condition for $F$-pure thresholds with fixed embedding dimension

Kenta Sato

arxiv:1805.07066 v1 · 2018-05-18 · 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{YTFLFM4ILBUZVNFTD6ADAFXY2H}

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	2026-05-18T00:15:41.159951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4cab2b38858699ab4b31f803016f8d1d1bf763182c3a753c11fee22b597604e

Aliases

arxiv: 1805.07066 · arxiv_version: 1805.07066v1 · doi: 10.48550/arxiv.1805.07066 · pith_short_12: YTFLFM4ILBUZ · pith_short_16: YTFLFM4ILBUZVNFT · pith_short_8: YTFLFM4I

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/YTFLFM4ILBUZVNFTD6ADAFXY2H \
  | 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: c4cab2b38858699ab4b31f803016f8d1d1bf763182c3a753c11fee22b597604e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0a3c37db0ea6a210373419bdbcc29be7250e25e342b640120d12024f40b7da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-18T06:51:53Z",
    "title_canon_sha256": "01ed6ab17ae6a429606afd2a1266b9a1831e375e05348ce46734aad4cd07c21b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.07066",
    "kind": "arxiv",
    "version": 1
  }
}