Pith Number

pith:L6JWZXJD

pith:2015:L6JWZXJDHV3KJNCBU4ZPSEVROH

not attested not anchored not stored refs pending

Algebraic Geometry Over Hyperrings

Jaiung Jun

arxiv:1512.04837 v1 · 2015-12-15 · math.AG · 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{L6JWZXJDHV3KJNCBU4ZPSEVROH}

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	2026-05-18T01:24:15.304263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f936cdd233d76a4b441a732f912b171fee589c909e8c1aa8dc17166b23182d0

Aliases

arxiv: 1512.04837 · arxiv_version: 1512.04837v1 · doi: 10.48550/arxiv.1512.04837 · pith_short_12: L6JWZXJDHV3K · pith_short_16: L6JWZXJDHV3KJNCB · pith_short_8: L6JWZXJD

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/L6JWZXJDHV3KJNCBU4ZPSEVROH \
  | 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: 5f936cdd233d76a4b441a732f912b171fee589c909e8c1aa8dc17166b23182d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c75b7a757ad243c7c33e671c3d47c77e8ec3b1dc06f94fc570583a82cb804f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-15T16:13:06Z",
    "title_canon_sha256": "22e8f03f101332531203ad5a4eda5dd06f9a92b04bc3fdcc42470d23573f55e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04837",
    "kind": "arxiv",
    "version": 1
  }
}