Pith Number

pith:IVICRR6P

pith:2015:IVICRR6PN44V7UKAY5A4OGOK72

not attested not anchored not stored refs pending

Perinormality -- a generalization of Krull domains

Jay Shapiro, Neil Epstein

arxiv:1501.03411 v4 · 2015-01-14 · 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{IVICRR6PN44V7UKAY5A4OGOK72}

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	2026-05-18T01:23:33.646772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

455028c7cf6f395fd140c741c719cafea490aeed0d5fd7139b381807688ac1a9

Aliases

arxiv: 1501.03411 · arxiv_version: 1501.03411v4 · doi: 10.48550/arxiv.1501.03411 · pith_short_12: IVICRR6PN44V · pith_short_16: IVICRR6PN44V7UKA · pith_short_8: IVICRR6P

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/IVICRR6PN44V7UKAY5A4OGOK72 \
  | 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: 455028c7cf6f395fd140c741c719cafea490aeed0d5fd7139b381807688ac1a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d48e7a84176f619354005462da93b695e4c806972e6eeb1fbc75a8bf1fb931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-14T17:05:37Z",
    "title_canon_sha256": "a3bd8689451e93b0249cbceb63fcd09918a929e3bd593dc3fbe7e6068c6372c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03411",
    "kind": "arxiv",
    "version": 4
  }
}