Pith Number

pith:WEHLCNRL

pith:2014:WEHLCNRL72LNO4YK4ZLU7HQGKL

not attested not anchored not stored refs pending

The nilpotence theorem for the algebraic $K$-theory of the sphere spectrum

Andrew J. Blumberg, Michael A. Mandell

arxiv:1405.6112 v1 · 2014-05-23 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEHLCNRL72LNO4YK4ZLU7HQGKL}

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	2026-05-18T00:21:00.903000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b10eb1362bfe96d7730ae6574f9e0652dec700cf581720ed8bad92365eddb2b8

Aliases

arxiv: 1405.6112 · arxiv_version: 1405.6112v1 · doi: 10.48550/arxiv.1405.6112 · pith_short_12: WEHLCNRL72LN · pith_short_16: WEHLCNRL72LNO4YK · pith_short_8: WEHLCNRL

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/WEHLCNRL72LNO4YK4ZLU7HQGKL \
  | 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: b10eb1362bfe96d7730ae6574f9e0652dec700cf581720ed8bad92365eddb2b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e86dde248db7023e8fc51605015a1bd8ff1bdbdddac95fb5bd19ae59d20e691c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-05-23T16:31:21Z",
    "title_canon_sha256": "9f21887869318a248b253861dff5f9dcacb3045896478438dd4005e5933bb6af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6112",
    "kind": "arxiv",
    "version": 1
  }
}