Pith Number

pith:7FHZ77VZ

pith:2020:7FHZ77VZ2MFFU4CN5PKECDECNX

not attested not anchored not stored refs pending

Minimally critical endomorphisms of P^N

Patrick Ingram

arxiv:2006.12869 v3 · 2020-06-23 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FHZ77VZ2MFFU4CN5PKECDECNX}

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.

Cited by

1 paper in Pith

Heights and morphisms in number fields

Receipt and verification

First computed	2026-07-05T04:42:53.141597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94f9ffeb9d30a5a704debd4410c826df5151f050008b3b9ed1d7a68611880e5

Aliases

arxiv: 2006.12869 · arxiv_version: 2006.12869v3 · doi: 10.48550/arxiv.2006.12869 · pith_short_12: 7FHZ77VZ2MFF · pith_short_16: 7FHZ77VZ2MFFU4CN · pith_short_8: 7FHZ77VZ

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/7FHZ77VZ2MFFU4CN5PKECDECNX \
  | 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: f94f9ffeb9d30a5a704debd4410c826df5151f050008b3b9ed1d7a68611880e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19cc186c3ddd71da6b0b607d61b0498aa0fae8e8bf1ef74cce0eb983124e314",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-06-23T10:04:26Z",
    "title_canon_sha256": "272b963c94490e3e303dc083f2624dab6b2062f7086866026c120ddd44a9cc0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.12869",
    "kind": "arxiv",
    "version": 3
  }
}