Pith Number

pith:LE4BQIKR

pith:2019:LE4BQIKRNU7WWF6NDPV2MHTFE7

not attested not anchored not stored refs pending

Extensions of a valuation from $K$ to $K[x]$

Josnei Novacoski

arxiv:1905.02169 v1 · 2019-05-06 · 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{LE4BQIKRNU7WWF6NDPV2MHTFE7}

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	2026-05-17T23:46:56.209751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59381821516d3f6b17cd1beba61e6527ef3b88fbc0deaa83693101d1c48e6327

Aliases

arxiv: 1905.02169 · arxiv_version: 1905.02169v1 · doi: 10.48550/arxiv.1905.02169 · pith_short_12: LE4BQIKRNU7W · pith_short_16: LE4BQIKRNU7WWF6N · pith_short_8: LE4BQIKR

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/LE4BQIKRNU7WWF6NDPV2MHTFE7 \
  | 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: 59381821516d3f6b17cd1beba61e6527ef3b88fbc0deaa83693101d1c48e6327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c18205cf7712f0700c9b7664df6e8beaa056f8aa519c25c78829835c64d0b50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-05-06T17:37:57Z",
    "title_canon_sha256": "add369fab1d779d37abe7043b0e7fb95b0b4f427a9d278e8e18d0323b285991a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02169",
    "kind": "arxiv",
    "version": 1
  }
}