Pith Number

pith:W3KU6N4S

pith:2024:W3KU6N4SYKJXUXRCTO4BZ3A2KZ

not attested not anchored not stored refs pending

First-order definitions of rings of integral functions over algebraic extensions of function fields and undecidability

Alexandra Shlapentokh, Caleb Springer

arxiv:2411.14960 v2 · 2024-11-22 · math.NT · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3KU6N4SYKJXUXRCTO4BZ3A2KZ}

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	2026-07-05T10:01:38.072545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d54f3792c2937a5e229bb81cec1a56662e133620a54dbf1e0ee575ce55aeee

Aliases

arxiv: 2411.14960 · arxiv_version: 2411.14960v2 · doi: 10.48550/arxiv.2411.14960 · pith_short_12: W3KU6N4SYKJX · pith_short_16: W3KU6N4SYKJXUXRC · pith_short_8: W3KU6N4S

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/W3KU6N4SYKJXUXRCTO4BZ3A2KZ \
  | 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: b6d54f3792c2937a5e229bb81cec1a56662e133620a54dbf1e0ee575ce55aeee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0531c3dcb1beefd8fabdb03219e1516fa9ba81710cc4850492d7ba7506caea0",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-22T14:18:10Z",
    "title_canon_sha256": "183073bf327d2cbf3054fc9f91a0220ed11db5347b9f3045a49ba9250757035e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14960",
    "kind": "arxiv",
    "version": 2
  }
}