Pith Number

pith:HGN2QDYA

pith:2015:HGN2QDYARX4GXS7XUTHTAPOJD3

not attested not anchored not stored refs pending

Gr\"obner Fans of x-homogeneous Ideals in R[[t]][x]

Thomas Markwig, Yue Ren

arxiv:1512.02662 v1 · 2015-12-08 · 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{HGN2QDYARX4GXS7XUTHTAPOJD3}

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	2026-05-18T00:07:28.657089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

399ba80f008df86bcbf7a4cf303dc91ec1984e0217d51c49b66456f0a73a6d8b

Aliases

arxiv: 1512.02662 · arxiv_version: 1512.02662v1 · doi: 10.48550/arxiv.1512.02662 · pith_short_12: HGN2QDYARX4G · pith_short_16: HGN2QDYARX4GXS7X · pith_short_8: HGN2QDYA

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/HGN2QDYARX4GXS7XUTHTAPOJD3 \
  | 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: 399ba80f008df86bcbf7a4cf303dc91ec1984e0217d51c49b66456f0a73a6d8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d393647326e16aaac2065c3e70fc91f647182c7a86a170238c86229a01d767",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-12-08T21:09:07Z",
    "title_canon_sha256": "3349118d8cf483c939b4c9932a93ac7f935652415e7320aad88e460c1caa8fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02662",
    "kind": "arxiv",
    "version": 1
  }
}