Pith Number

pith:2U5JMILG

pith:2019:2U5JMILGE7COXPJKBEEZL75YTL

not attested not anchored not stored refs pending

Essentially finite generation of valuation rings in terms of classical invariants

Josnei Novacoski, Steven Dale Cutkosky

arxiv:1907.01859 v1 · 2019-07-03 · 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{2U5JMILGE7COXPJKBEEZL75YTL}

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	2026-05-17T23:41:34.772703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d53a96216627c4ebbd2a090995ffb89ae87e4f8fd0eec16cd24db790a51d4898

Aliases

arxiv: 1907.01859 · arxiv_version: 1907.01859v1 · doi: 10.48550/arxiv.1907.01859 · pith_short_12: 2U5JMILGE7CO · pith_short_16: 2U5JMILGE7COXPJK · pith_short_8: 2U5JMILG

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/2U5JMILGE7COXPJKBEEZL75YTL \
  | 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: d53a96216627c4ebbd2a090995ffb89ae87e4f8fd0eec16cd24db790a51d4898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "573342b176b180fc40bec7e535db9214c4b07a7cf910fbd75c465faff5e2dc86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-07-03T11:24:18Z",
    "title_canon_sha256": "9f2d427d42f139a38e5f57403e45b39b5446129ba266ac0cb15fb08ca7ea0c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01859",
    "kind": "arxiv",
    "version": 1
  }
}