Pith Number

pith:OW3BAA5R

pith:2011:OW3BAA5RR6RV6N5EXGKJLEVQYU

not attested not anchored not stored refs pending

Algorithmic Thomas Decomposition of Algebraic and Differential Systems

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

arxiv:1108.0817 v1 · 2011-08-03 · 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{OW3BAA5RR6RV6N5EXGKJLEVQYU}

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	2026-05-18T03:59:01.848030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75b61003b18fa35f37a4b9949592b0c5192d1c82a98749706c7e52226ffb2d43

Aliases

arxiv: 1108.0817 · arxiv_version: 1108.0817v1 · doi: 10.48550/arxiv.1108.0817 · pith_short_12: OW3BAA5RR6RV · pith_short_16: OW3BAA5RR6RV6N5E · pith_short_8: OW3BAA5R

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/OW3BAA5RR6RV6N5EXGKJLEVQYU \
  | 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: 75b61003b18fa35f37a4b9949592b0c5192d1c82a98749706c7e52226ffb2d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4340863425b751105c87c2d672ec403ac7747a1ff90915af6af3984a926ad5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-08-03T10:48:49Z",
    "title_canon_sha256": "5969ec79a094c03cfb9130ae486c227786cce8da69acb5f61bde271c9900d072"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0817",
    "kind": "arxiv",
    "version": 1
  }
}