Pith Number

pith:3XXZEVPB

pith:2018:3XXZEVPBEDMHE42LIFFNOF4JPU

not attested not anchored not stored refs pending

On the Bound of Inverse Images of a Polynomial Map

Ilya Vyugin

arxiv:1811.08930 v1 · 2018-11-21 · math.CO · 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{3XXZEVPBEDMHE42LIFFNOF4JPU}

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	2026-05-18T00:00:07.568427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddef9255e120d872734b414ad717897d30cbc49575f6c1090897449361638fe4

Aliases

arxiv: 1811.08930 · arxiv_version: 1811.08930v1 · doi: 10.48550/arxiv.1811.08930 · pith_short_12: 3XXZEVPBEDMH · pith_short_16: 3XXZEVPBEDMHE42L · pith_short_8: 3XXZEVPB

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/3XXZEVPBEDMHE42LIFFNOF4JPU \
  | 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: ddef9255e120d872734b414ad717897d30cbc49575f6c1090897449361638fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a2ed1e3dde1c21ce238a412aee0aede5d6273071a87b612927763162b99fd80",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-21T20:12:29Z",
    "title_canon_sha256": "57e930e904f569ecc36d582c73af2e9e1108b7a865e45e579050a35c7ac546b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08930",
    "kind": "arxiv",
    "version": 1
  }
}