Pith Number

pith:WRHYFDFG

pith:2008:WRHYFDFGKNGTJWJBABPIGY47A4

not attested not anchored not stored refs pending

Some relational structures with polynomial growth and their associated algebras II: Finite generation

Maurice Pouzet, Nicolas M. Thi\'ery

arxiv:0801.4404 v2 · 2008-01-29 · math.CO · 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{WRHYFDFGKNGTJWJBABPIGY47A4}

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	2026-05-18T00:18:32.418543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b44f828ca6534d34d921005e83639f0726d937bd900702b68ed55939e944ea4f

Aliases

arxiv: 0801.4404 · arxiv_version: 0801.4404v2 · doi: 10.48550/arxiv.0801.4404 · pith_short_12: WRHYFDFGKNGT · pith_short_16: WRHYFDFGKNGTJWJB · pith_short_8: WRHYFDFG

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/WRHYFDFGKNGTJWJBABPIGY47A4 \
  | 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: b44f828ca6534d34d921005e83639f0726d937bd900702b68ed55939e944ea4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "164d6f9b15e26edb14fe0cbf79a9ffbceb175cf460eeaba20ba80571db164600",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-01-29T00:08:24Z",
    "title_canon_sha256": "0842db82b6c897e1e880d07c3b5bd50721f78ff0136076e09cf081c4a4b5ca5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.4404",
    "kind": "arxiv",
    "version": 2
  }
}