Pith Number

pith:MJ7TSYH7

pith:2021:MJ7TSYH7AM3A2NQSBC4QSMKPUT

not attested not anchored not stored refs pending

Hensel minimality II: Mixed characteristic and a diophantine application

Floris Vermeulen, Immanuel Halupczok, Raf Cluckers, Silvain Rideau-Kikuchi

arxiv:2104.09475 v2 · 2021-04-19 · math.LO · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MJ7TSYH7AM3A2NQSBC4QSMKPUT}

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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.

Cited by

1 paper in Pith

About closed subsets definable in Hensel minimal structures

Receipt and verification

First computed	2026-07-05T06:48:29.479807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

627f3960ff03360d361208b909314fa4e2dcd860a06419170f5300830cbf64fb

Aliases

arxiv: 2104.09475 · arxiv_version: 2104.09475v2 · doi: 10.48550/arxiv.2104.09475 · pith_short_12: MJ7TSYH7AM3A · pith_short_16: MJ7TSYH7AM3A2NQS · pith_short_8: MJ7TSYH7

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/MJ7TSYH7AM3A2NQSBC4QSMKPUT \
  | 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: 627f3960ff03360d361208b909314fa4e2dcd860a06419170f5300830cbf64fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cff92f28e3cbd2fb20091691ef94452b4d4c7557d887868f737b6fccdfeffe1d",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2021-04-19T17:35:57Z",
    "title_canon_sha256": "9c63b5fbd07429cf457c9ac80d0e660044e967cf6a573a9a64c8ae467f50903b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.09475",
    "kind": "arxiv",
    "version": 2
  }
}