Pith Number

pith:RWFLIKJ7

pith:2018:RWFLIKJ7ZGX6ISZW7BXK5I4HP6

not attested not anchored not stored refs pending

A note on retracts of polynomial rings in three variables

Takanori Nagamine

arxiv:1811.04153 v2 · 2018-11-09 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RWFLIKJ7ZGX6ISZW7BXK5I4HP6}

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	2026-05-17T23:40:55.722043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d8ab4293fc9afe44b36f86eaea3877f8c626e2f2a1e63da0c6bea9b8b09c08c

Aliases

arxiv: 1811.04153 · arxiv_version: 1811.04153v2 · doi: 10.48550/arxiv.1811.04153 · pith_short_12: RWFLIKJ7ZGX6 · pith_short_16: RWFLIKJ7ZGX6ISZW · pith_short_8: RWFLIKJ7

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/RWFLIKJ7ZGX6ISZW7BXK5I4HP6 \
  | 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: 8d8ab4293fc9afe44b36f86eaea3877f8c626e2f2a1e63da0c6bea9b8b09c08c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfe9ce81910facbdef2f757fd3f526f21acf67d2bd714eb47663474dd8b8c1b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-09T22:39:15Z",
    "title_canon_sha256": "0596a1eb7581237da13c76fd0b06f4f723ae4d376868ded5a08e713134949fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04153",
    "kind": "arxiv",
    "version": 2
  }
}