Pith Number

pith:ML3U3TNU

pith:2016:ML3U3TNUTXTY4OZF5IYE6ZFYFG

not attested not anchored not stored refs pending

The spectrum for commutative complex $K$-theory

Simon Gritschacher

arxiv:1611.03644 v2 · 2016-11-11 · 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{ML3U3TNUTXTY4OZF5IYE6ZFYFG}

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	2026-05-18T00:20:56.987010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62f74dcdb49de78e3b25ea304f64b829aa5ecd7f721c49387b256acabfe5b905

Aliases

arxiv: 1611.03644 · arxiv_version: 1611.03644v2 · doi: 10.48550/arxiv.1611.03644 · pith_short_12: ML3U3TNUTXTY · pith_short_16: ML3U3TNUTXTY4OZF · pith_short_8: ML3U3TNU

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/ML3U3TNUTXTY4OZF5IYE6ZFYFG \
  | 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: 62f74dcdb49de78e3b25ea304f64b829aa5ecd7f721c49387b256acabfe5b905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac56ba006a772ff58bafc72c6b6bd31d0cb122b346f6262dcac9b93a0e0f9e18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-11-11T10:14:38Z",
    "title_canon_sha256": "1322bb83abe1d67ae1d968a7b3788e168dfc510be6830073a15905dc28b72aaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03644",
    "kind": "arxiv",
    "version": 2
  }
}