Pith Number

pith:XE7EE52Y

pith:2016:XE7EE52YIGVPJPDVENMSLKAE2E

not attested not anchored not stored refs pending

On the behavior of the size of a monomial ideal

Andrei Zarojanu, Bogdan Ichim

arxiv:1602.08025 v1 · 2016-02-25 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XE7EE52YIGVPJPDVENMSLKAE2E}

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	2026-05-18T01:19:57.980264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b93e42775841aaf4bc75235925a804d12dd71645b3957494fbdd06a2751190fe

Aliases

arxiv: 1602.08025 · arxiv_version: 1602.08025v1 · doi: 10.48550/arxiv.1602.08025 · pith_short_12: XE7EE52YIGVP · pith_short_16: XE7EE52YIGVPJPDV · pith_short_8: XE7EE52Y

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/XE7EE52YIGVPJPDVENMSLKAE2E \
  | 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: b93e42775841aaf4bc75235925a804d12dd71645b3957494fbdd06a2751190fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977d47dd0aa8a554878cef3d89952dcfafdc5034e58a48ac14cecc8775e15ce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-02-25T18:20:43Z",
    "title_canon_sha256": "5bb04c82920e512fddc16ff65671c9f2d5eb8c0e12a06a47a6ade84a48a1e647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08025",
    "kind": "arxiv",
    "version": 1
  }
}