Pith Number

pith:GZP2ROMQ

pith:2011:GZP2ROMQJPPJ7DNXYBV4CZ3NYB

not attested not anchored not stored refs pending

Dynamics and entropy in local algebra

Lucien Szpiro, Mahdi Majidi-Zolbanin, Nikita Miasnikov

arxiv:1109.6438 v1 · 2011-09-29 · math.AG · math.AC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZP2ROMQJPPJ7DNXYBV4CZ3NYB}

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	2026-05-18T04:12:01.544011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365fa8b9904bde9f8db7c06bc1676dc056e58ad1c1a37101917e7da015512ea2

Aliases

arxiv: 1109.6438 · arxiv_version: 1109.6438v1 · doi: 10.48550/arxiv.1109.6438 · pith_short_12: GZP2ROMQJPPJ · pith_short_16: GZP2ROMQJPPJ7DNX · pith_short_8: GZP2ROMQ

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/GZP2ROMQJPPJ7DNXYBV4CZ3NYB \
  | 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: 365fa8b9904bde9f8db7c06bc1676dc056e58ad1c1a37101917e7da015512ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4fb6945e624f7dab828c88642497515378969c83b942d9e905ee316174de9c",
    "cross_cats_sorted": [
      "math.AC",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-09-29T08:47:47Z",
    "title_canon_sha256": "c0607030153a73da7c82bc4ff97a89f74cd98607609f9768d8ee4ee267818c01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6438",
    "kind": "arxiv",
    "version": 1
  }
}