Pith Number

pith:3LD4QPZE

pith:2025:3LD4QPZE5BDAKBVIZAW4KW4N54

not attested not anchored not stored refs pending

Explicit Stillman bounds for all degrees

Cheng Meng, Giulio Caviglia, Yihui Liang

arxiv:2507.19617 v3 · 2025-07-25 · 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{3LD4QPZE5BDAKBVIZAW4KW4N54}

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.

Cited by

1 paper in Pith

A Linear Bound on the Projective Dimension of Height 3 Quadratic Ideals

Receipt and verification

First computed	2026-05-28T01:04:29.353219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dac7c83f24e8460506a8c82dc55b8def0d7e7cb1ae8d5f4d4fc883bfd6a5bce8

Aliases

arxiv: 2507.19617 · arxiv_version: 2507.19617v3 · doi: 10.48550/arxiv.2507.19617 · pith_short_12: 3LD4QPZE5BDA · pith_short_16: 3LD4QPZE5BDAKBVI · pith_short_8: 3LD4QPZE

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/3LD4QPZE5BDAKBVIZAW4KW4N54 \
  | 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: dac7c83f24e8460506a8c82dc55b8def0d7e7cb1ae8d5f4d4fc883bfd6a5bce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ede68fc0ebca896bfc4747121cab8fc04bcacf58ccec6e851537fcdad59001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-07-25T18:34:28Z",
    "title_canon_sha256": "d25589316f7c59cac9e49cfa34c45bb345fdb55ee87c933ecfcda80d5dc1f73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19617",
    "kind": "arxiv",
    "version": 3
  }
}