Pith Number

pith:YPSMP6Z7

pith:2006:YPSMP6Z7SD5J2VO6XYTNGGWSSJ

not attested not anchored not stored refs pending

Topological Hochschild homology and cohomology of A_\infty ring spectra

Vigleik Angeltveit

arxiv:math/0612164 v1 · 2006-12-06 · 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{YPSMP6Z7SD5J2VO6XYTNGGWSSJ}

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	2026-05-18T02:37:59.442446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e4c7fb3f90fa9d55debe26d31ad292797960f91b09149604cd7b536b54d990

Aliases

arxiv: math/0612164 · arxiv_version: math/0612164v1 · doi: 10.48550/arxiv.math/0612164 · pith_short_12: YPSMP6Z7SD5J · pith_short_16: YPSMP6Z7SD5J2VO6 · pith_short_8: YPSMP6Z7

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/YPSMP6Z7SD5J2VO6XYTNGGWSSJ \
  | 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: c3e4c7fb3f90fa9d55debe26d31ad292797960f91b09149604cd7b536b54d990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c1223c9f98ba768ee904d847209e8cebd91335f3cc31fd28a249c8e709adc06",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-12-06T19:21:29Z",
    "title_canon_sha256": "080582c7452c8e4e55da83b25da8ce9d917f1452b477fc8d4fac65cd056ea80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612164",
    "kind": "arxiv",
    "version": 1
  }
}