Pith Number

pith:OK363Z42

pith:2004:OK363Z42B66CHL5UUQOVF2H333

not attested not anchored not stored refs pending

Units of ring spectra and their traces in algebraic K-theory

Christian Schlichtkrull

arxiv:math/0405079 v1 · 2004-05-05 · 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{OK363Z42B66CHL5UUQOVF2H333}

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	2026-05-18T02:38:00.092003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72b7ede79a0fbc23afb4a41d52e8fbdec120a1fe9307887bf2de267775b543f4

Aliases

arxiv: math/0405079 · arxiv_version: math/0405079v1 · doi: 10.48550/arxiv.math/0405079 · pith_short_12: OK363Z42B66C · pith_short_16: OK363Z42B66CHL5U · pith_short_8: OK363Z42

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/OK363Z42B66CHL5UUQOVF2H333 \
  | 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: 72b7ede79a0fbc23afb4a41d52e8fbdec120a1fe9307887bf2de267775b543f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a624b232f339284233d11fa6d36e31428f54e238da40df755c9527c617cdc2b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-05-05T15:05:22Z",
    "title_canon_sha256": "5bc6e872b9b0319f244cb35a5df695358256c4e17d5bb4b1f474d00449715cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405079",
    "kind": "arxiv",
    "version": 1
  }
}