Pith Number

pith:4CYPOXXB

pith:2011:4CYPOXXBXYR3GN5EAMTCKALAXF

not attested not anchored not stored refs pending

On Quillen's calculation of graded $K$-theory

R. Hazrat, T. Huettemann

arxiv:1103.6132 v1 · 2011-03-31 · 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{4CYPOXXBXYR3GN5EAMTCKALAXF}

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	2026-05-18T02:40:02.449647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b0f75ee1be23b337a40326250160b94869623b4e03db1df894acb26943ed66

Aliases

arxiv: 1103.6132 · arxiv_version: 1103.6132v1 · doi: 10.48550/arxiv.1103.6132 · pith_short_12: 4CYPOXXBXYR3 · pith_short_16: 4CYPOXXBXYR3GN5E · pith_short_8: 4CYPOXXB

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/4CYPOXXBXYR3GN5EAMTCKALAXF \
  | 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: e0b0f75ee1be23b337a40326250160b94869623b4e03db1df894acb26943ed66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b69973ec36e1361f38e90393b8658e1477d2cd87683f6915b03a0ccf08e998da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2011-03-31T10:13:26Z",
    "title_canon_sha256": "a15450959441658ae7da5a0015ceaf37f7ab0839f950ad903c33ddfc9d9f290f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6132",
    "kind": "arxiv",
    "version": 1
  }
}