Pith Number

pith:7JEG42KN

pith:2016:7JEG42KNMQL6BATTYHBS7RT5LQ

not attested not anchored not stored refs pending

Gr\"obner coherent rings and modules

Andrew Snowden, Rohit Nagpal

arxiv:1606.03429 v1 · 2016-06-10 · 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{7JEG42KNMQL6BATTYHBS7RT5LQ}

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	2026-05-18T01:12:36.917271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa486e694d6417e08273c1c32fc67d5c168d14662ec8ff3e65ee1b572a0d96a2

Aliases

arxiv: 1606.03429 · arxiv_version: 1606.03429v1 · doi: 10.48550/arxiv.1606.03429 · pith_short_12: 7JEG42KNMQL6 · pith_short_16: 7JEG42KNMQL6BATT · pith_short_8: 7JEG42KN

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/7JEG42KNMQL6BATTYHBS7RT5LQ \
  | 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: fa486e694d6417e08273c1c32fc67d5c168d14662ec8ff3e65ee1b572a0d96a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d74256cbf4df73b848d5802da44dd905663f2637ca62944ca2806b1b79c73388",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-06-10T19:20:15Z",
    "title_canon_sha256": "e00911363156fc7ca1a5bbc24240f707a1ba1d5807929b3c9e0073259486f779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03429",
    "kind": "arxiv",
    "version": 1
  }
}