Pith Number

pith:FIYTXL6H

pith:2013:FIYTXL6HXRVZA4VWI3QTB7Y2OL

not attested not anchored not stored refs pending

Polynomial extensions of semistar operations

Gyu Whan Chang, Marco Fontana, Mi Hee Park

arxiv:1306.3650 v1 · 2013-06-16 · 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{FIYTXL6HXRVZA4VWI3QTB7Y2OL}

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	2026-05-18T03:20:46.906086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a313bafc7bc6b9072b646e130ff1a72ea897fb09bf1c328b09b35e6275cb556

Aliases

arxiv: 1306.3650 · arxiv_version: 1306.3650v1 · doi: 10.48550/arxiv.1306.3650 · pith_short_12: FIYTXL6HXRVZ · pith_short_16: FIYTXL6HXRVZA4VW · pith_short_8: FIYTXL6H

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/FIYTXL6HXRVZA4VWI3QTB7Y2OL \
  | 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: 2a313bafc7bc6b9072b646e130ff1a72ea897fb09bf1c328b09b35e6275cb556

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6f62643d4301cf9acb7bb1f74d5e910e205e6e327216887ca38f249ec96d571",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-06-16T11:00:37Z",
    "title_canon_sha256": "a87451f5ec2bdd467b3618a54c8b72a45b5f9dd721206fa3a5c0812a43ac86ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3650",
    "kind": "arxiv",
    "version": 1
  }
}