Pith Number

pith:VFXKIXYE

pith:2017:VFXKIXYEFS334XBTHEPL4GY76M

not attested not anchored not stored refs pending

On the number of generators of powers of an ideal

J\"urgen Herzog, Maryam Mohammadei Saem, Naser Zamani

arxiv:1707.07302 v3 · 2017-07-23 · 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{VFXKIXYEFS334XBTHEPL4GY76M}

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	2026-05-18T00:38:45.731306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96ea45f042cb7be5c33391ebe1b1ff3078b766cd3cbe5a1ae4a5fab92450988

Aliases

arxiv: 1707.07302 · arxiv_version: 1707.07302v3 · doi: 10.48550/arxiv.1707.07302 · pith_short_12: VFXKIXYEFS33 · pith_short_16: VFXKIXYEFS334XBT · pith_short_8: VFXKIXYE

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/VFXKIXYEFS334XBTHEPL4GY76M \
  | 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: a96ea45f042cb7be5c33391ebe1b1ff3078b766cd3cbe5a1ae4a5fab92450988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c1db57918361668b12bec3f83c5d63eef51e676aaf5df698fc1fbd289fa007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-07-23T14:13:49Z",
    "title_canon_sha256": "d8840d3223b564ae2d6d8f581f317e2a81cd1d02dd9b7abbb43b4905591a5450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07302",
    "kind": "arxiv",
    "version": 3
  }
}