Pith Number

pith:YT7P3J4Z

pith:2017:YT7P3J4ZUDQJ5S4U7FTNKHCJXN

not attested not anchored not stored refs pending

Compatibility of quasi-orderings and valuations; A Baer-Krull Theorem for quasi-ordered Rings

Salma Kuhlmann, Simon M\"uller

arxiv:1707.08410 v4 · 2017-07-26 · 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{YT7P3J4ZUDQJ5S4U7FTNKHCJXN}

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	2026-05-18T00:05:24.079146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4fefda799a0e09ecb94f966d51c49bb53f7239a412ea5c3a06accb667cf6ab5

Aliases

arxiv: 1707.08410 · arxiv_version: 1707.08410v4 · doi: 10.48550/arxiv.1707.08410 · pith_short_12: YT7P3J4ZUDQJ · pith_short_16: YT7P3J4ZUDQJ5S4U · pith_short_8: YT7P3J4Z

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/YT7P3J4ZUDQJ5S4U7FTNKHCJXN \
  | 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: c4fefda799a0e09ecb94f966d51c49bb53f7239a412ea5c3a06accb667cf6ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f251d55d1b88047eead90ee337d3f74bc0ec46992c012f06527cd03770546df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-26T12:43:12Z",
    "title_canon_sha256": "dfdb0a706305af08f8001dff17f753123f71280caf5516c20852887582f34c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08410",
    "kind": "arxiv",
    "version": 4
  }
}