Pith Number

pith:5PFF2EJ5

pith:2007:5PFF2EJ5Q5LTMKGXILOWO65XKD

not attested not anchored not stored refs pending

A counterexample to generalizations of the Milnor-Bloch-Kato conjecture

Michael Spiess, Takao Yamazaki

arxiv:0706.4354 v2 · 2007-06-29 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PFF2EJ5Q5LTMKGXILOWO65XKD}

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	2026-05-18T04:09:15.932581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebca5d113d87573628d742dd677bb750f548ff36578e218388e39d32ad6f2968

Aliases

arxiv: 0706.4354 · arxiv_version: 0706.4354v2 · doi: 10.48550/arxiv.0706.4354 · pith_short_12: 5PFF2EJ5Q5LT · pith_short_16: 5PFF2EJ5Q5LTMKGX · pith_short_8: 5PFF2EJ5

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/5PFF2EJ5Q5LTMKGXILOWO65XKD \
  | 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: ebca5d113d87573628d742dd677bb750f548ff36578e218388e39d32ad6f2968

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bae585df6a170b1df8d452280cec2e190a8437369ca3bd8d7e5015d4afb1733",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2007-06-29T06:10:55Z",
    "title_canon_sha256": "5419b1b08fb5abaa173a7d4773d3934bd7b8ffb8059e0b9f7d70be88b120e1ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.4354",
    "kind": "arxiv",
    "version": 2
  }
}