Pith Number

pith:YUAZTUNQ

pith:2010:YUAZTUNQEP5FJGARZ6L4R73MMS

not attested not anchored not stored refs pending

Degree bounds for separating invariants

Hanspeter Kraft, Martin Kohls

arxiv:1001.5216 v2 · 2010-01-28 · 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{YUAZTUNQEP5FJGARZ6L4R73MMS}

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	2026-05-18T02:49:10.228969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c50199d1b023fa549811cf97c8ff6c64810b62fbf7d6314e6fdb2e84e5a8a268

Aliases

arxiv: 1001.5216 · arxiv_version: 1001.5216v2 · doi: 10.48550/arxiv.1001.5216 · pith_short_12: YUAZTUNQEP5F · pith_short_16: YUAZTUNQEP5FJGAR · pith_short_8: YUAZTUNQ

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/YUAZTUNQEP5FJGARZ6L4R73MMS \
  | 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: c50199d1b023fa549811cf97c8ff6c64810b62fbf7d6314e6fdb2e84e5a8a268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba01fcfa148513b99914798b1a2b18f40c42076174114317c341ca047a9a8dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-01-28T16:42:15Z",
    "title_canon_sha256": "259bcc5f39e3feca1b859eb0fd82da06bfd030153d35d98c42f3b62f0207f803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5216",
    "kind": "arxiv",
    "version": 2
  }
}