pith. sign in
Pith Number

pith:4IMMSW6N

pith:2014:4IMMSW6N646AP2LXK65XH3QZBY
not attested not anchored not stored refs pending

Definable types in algebraically closed valued fields

Fran\c{c}oise Delon, Pablo Cubides-Kovacsics

arxiv:1410.3589 v1 · 2014-10-14 · math.LO · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4IMMSW6N646AP2LXK65XH3QZBY}

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 2026-05-18T02:40:09.452609Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e218c95bcdf73c07e97757bb73ee190e1a78db5ae399b945428cee7d1ca183c8

Aliases

arxiv: 1410.3589 · arxiv_version: 1410.3589v1 · doi: 10.48550/arxiv.1410.3589 · pith_short_12: 4IMMSW6N646A · pith_short_16: 4IMMSW6N646AP2LX · pith_short_8: 4IMMSW6N
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4IMMSW6N646AP2LXK65XH3QZBY \
  | 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: e218c95bcdf73c07e97757bb73ee190e1a78db5ae399b945428cee7d1ca183c8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ab842c9ddf62cf23884f92de357b78b531cd4064c069b09acd1c451904d4dded",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-10-14T06:52:41Z",
    "title_canon_sha256": "ca249c55443d4877451de45470673acdb461045bdc77a456d46b97af78ef58d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3589",
    "kind": "arxiv",
    "version": 1
  }
}