Pith Number

pith:UKEGFASW

pith:2019:UKEGFASWHLFVT4J6WJ4KGTOYWP

not attested not anchored not stored refs pending

On the radius of the category of extensions of matrix factorizations

Kaori Shimada, Ryo Takahashi

arxiv:1907.07473 v1 · 2019-07-17 · 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{UKEGFASWHLFVT4J6WJ4KGTOYWP}

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	2026-05-17T23:40:22.110104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2886282563acb59f13eb278a34dd8b3fe7ad340752aa5916fd489b5f9a0f466

Aliases

arxiv: 1907.07473 · arxiv_version: 1907.07473v1 · doi: 10.48550/arxiv.1907.07473 · pith_short_12: UKEGFASWHLFV · pith_short_16: UKEGFASWHLFVT4J6 · pith_short_8: UKEGFASW

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/UKEGFASWHLFVT4J6WJ4KGTOYWP \
  | 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: a2886282563acb59f13eb278a34dd8b3fe7ad340752aa5916fd489b5f9a0f466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070601a42658b699e843871790709bc6ec0385dd4a93f8b1df914a68c812164a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-07-17T12:30:16Z",
    "title_canon_sha256": "b815dc0164ad3767d98000436fd9d218d83217f2f4d160add0726846d37dc971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07473",
    "kind": "arxiv",
    "version": 1
  }
}