Pith Number

pith:2OIHQB5B

pith:2015:2OIHQB5B43JR3Q2A37MYYZXUJS

not attested not anchored not stored refs pending

Reduction of local uniformization to the case of rank one valuations for rings with zero divisors

Josnei Novacoski, Mark Spivakovsky

arxiv:1509.03122 v1 · 2015-09-10 · 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{2OIHQB5B43JR3Q2A37MYYZXUJS}

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	2026-05-18T01:33:25.305028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3907807a1e6d31dc340dfd98c66f44c87f27498834a1a74dc8b809580542639

Aliases

arxiv: 1509.03122 · arxiv_version: 1509.03122v1 · doi: 10.48550/arxiv.1509.03122 · pith_short_12: 2OIHQB5B43JR · pith_short_16: 2OIHQB5B43JR3Q2A · pith_short_8: 2OIHQB5B

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/2OIHQB5B43JR3Q2A37MYYZXUJS \
  | 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: d3907807a1e6d31dc340dfd98c66f44c87f27498834a1a74dc8b809580542639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60cb96e6109b280a8dacff9388040036a67f040db12b1d37a823508dd8fc87a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-09-10T12:23:20Z",
    "title_canon_sha256": "b935a3782e26c8bc29281d95bc71794cb17db102f53caf31d477944bf19817fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03122",
    "kind": "arxiv",
    "version": 1
  }
}