Pith Number

pith:YUBA66PU

pith:2008:YUBA66PUHWCNVLJAUNMPE4VWV6

not attested not anchored not stored refs pending

Closed classes of functions, generalized constraints and clusters

Erkko Lehtonen

arxiv:0810.3212 v1 · 2008-10-17 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUBA66PUHWCNVLJAUNMPE4VWV6}

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	2026-05-18T00:57:38.800547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5020f79f43d84daad20a358f272b6af936dab16893c1c6f0b6a8466bce4c3b3

Aliases

arxiv: 0810.3212 · arxiv_version: 0810.3212v1 · doi: 10.48550/arxiv.0810.3212 · pith_short_12: YUBA66PUHWCN · pith_short_16: YUBA66PUHWCNVLJA · pith_short_8: YUBA66PU

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/YUBA66PUHWCNVLJAUNMPE4VWV6 \
  | 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: c5020f79f43d84daad20a358f272b6af936dab16893c1c6f0b6a8466bce4c3b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfacae224ccd1e354e57e493a43b48dafa3cbf4264dc81b9e68249ac443967c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-10-17T18:00:59Z",
    "title_canon_sha256": "03a58668d611559e0f4f7b05fc42387cc780195d5297af5ec1ab0cf25113c9c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3212",
    "kind": "arxiv",
    "version": 1
  }
}