Pith Number

pith:NTUJZDCO

pith:2018:NTUJZDCOAJZ6BVBBFAADHDFCTT

not attested not anchored not stored refs pending

On Abhyankar's irreducibility criterion for quasi-ordinary polynomials

Beata Hejmej, Janusz Gwo\'zdziewicz

arxiv:1804.05366 v1 · 2018-04-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTUJZDCOAJZ6BVBBFAADHDFCTT}

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	2026-05-18T00:18:28.273036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ce89c8c4e0273e0d4212800338ca29cd7b23b89bdb1a67a8992e5ff5cf1cb3f

Aliases

arxiv: 1804.05366 · arxiv_version: 1804.05366v1 · doi: 10.48550/arxiv.1804.05366 · pith_short_12: NTUJZDCOAJZ6 · pith_short_16: NTUJZDCOAJZ6BVBB · pith_short_8: NTUJZDCO

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/NTUJZDCOAJZ6BVBBFAADHDFCTT \
  | 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: 6ce89c8c4e0273e0d4212800338ca29cd7b23b89bdb1a67a8992e5ff5cf1cb3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d37afaaeedfe87ee9e96054cc2992379a9b57a947e7abbb8308ae29a4cda484",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-15T15:18:07Z",
    "title_canon_sha256": "d01374ac3ae86b741e33b9d6ed97278d56ee16c90e7b2f7f43a3b85ac0bf605b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05366",
    "kind": "arxiv",
    "version": 1
  }
}