Pith Number

pith:U4RHUIPJ

pith:2011:U4RHUIPJVUVIX6X5TQKJCRKI7D

not attested not anchored not stored refs pending

Nilpotent algebras and affinely homogeneous surfaces

Gregor Fels, Wilhelm Kaup

arxiv:1101.3088 v3 · 2011-01-16 · 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{U4RHUIPJVUVIX6X5TQKJCRKI7D}

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	2026-05-18T04:16:12.036921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7227a21e9ad2a8bfafd9c14914548f8d840b339b95bae43e718b3b04969a55e

Aliases

arxiv: 1101.3088 · arxiv_version: 1101.3088v3 · doi: 10.48550/arxiv.1101.3088 · pith_short_12: U4RHUIPJVUVI · pith_short_16: U4RHUIPJVUVIX6X5 · pith_short_8: U4RHUIPJ

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/U4RHUIPJVUVIX6X5TQKJCRKI7D \
  | 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: a7227a21e9ad2a8bfafd9c14914548f8d840b339b95bae43e718b3b04969a55e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf41af18467ad2eaa7e5dee23411817b6275cb6a88f5d0066356916d29d8586",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-01-16T19:34:44Z",
    "title_canon_sha256": "3ececa370f19db23f0be4c7891789b7a1d03e7c319cd24be7d9d818bc2bfe660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3088",
    "kind": "arxiv",
    "version": 3
  }
}