Pith Number

pith:4J5ZKIH3

pith:2014:4J5ZKIH3VHTLVD44SFNKUVN7PE

not attested not anchored not stored refs pending

Asymptotic Hilbert Polynomial and limiting shapes

Halszka Tutaj-Gasinska, Justyna Szpond, Marcin Dumnicki

arxiv:1407.0544 v1 · 2014-07-02 · math.AG · 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{4J5ZKIH3VHTLVD44SFNKUVN7PE}

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	2026-05-18T02:48:26.621443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27b9520fba9e6ba8f9c915aaa55bf79305c1874e05ef599a627d862d162dfd6

Aliases

arxiv: 1407.0544 · arxiv_version: 1407.0544v1 · doi: 10.48550/arxiv.1407.0544 · pith_short_12: 4J5ZKIH3VHTL · pith_short_16: 4J5ZKIH3VHTLVD44 · pith_short_8: 4J5ZKIH3

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/4J5ZKIH3VHTLVD44SFNKUVN7PE \
  | 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: e27b9520fba9e6ba8f9c915aaa55bf79305c1874e05ef599a627d862d162dfd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fc09b15e00386fdef08d0b00baa23e3c9094fb3b3eb5028aea2d84fca29dcf9",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-02T12:37:34Z",
    "title_canon_sha256": "63317aef583bf62f77bac154e1ae5b9fb7d64a5faef2083c437a447dedd10e09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0544",
    "kind": "arxiv",
    "version": 1
  }
}