Pith Number

pith:4I2642LD

pith:2010:4I2642LD7QOONHE7JGSO5ZTOYV

not attested not anchored not stored refs pending

Thomas Decomposition of Algebraic and Differential Systems

Daniel Robertz, Markus Lange-Hegermann, Thomas B\"achler, Vladimir Gerdt

arxiv:1008.3767 v1 · 2010-08-23 · math.AC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4I2642LD7QOONHE7JGSO5ZTOYV}

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	2026-05-18T02:05:43.845256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e235ee6963fc1ce69c9f49a4eee66ec56728c7f10be88f342f9471d37981395c

Aliases

arxiv: 1008.3767 · arxiv_version: 1008.3767v1 · doi: 10.48550/arxiv.1008.3767 · pith_short_12: 4I2642LD7QOO · pith_short_16: 4I2642LD7QOONHE7 · pith_short_8: 4I2642LD

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/4I2642LD7QOONHE7JGSO5ZTOYV \
  | 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: e235ee6963fc1ce69c9f49a4eee66ec56728c7f10be88f342f9471d37981395c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72f96561eed7c801717a37cc2beb3dae7d8100315181c207d7017fecf0c48206",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-23T07:51:35Z",
    "title_canon_sha256": "b25d2845050415dbf80f25152b0c63ccb156341b953eca45fa694c07be587e7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3767",
    "kind": "arxiv",
    "version": 1
  }
}