Pith Number

pith:T4AB6GJ6

pith:2005:T4AB6GJ6H55G7SXWCRA2445FSJ

not attested not anchored not stored refs pending

Hopf algebra structure on topological Hochschild homology

John Rognes, Vigleik Angeltveit

arxiv:math/0502195 v2 · 2005-02-09 · 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{T4AB6GJ6H55G7SXWCRA2445FSJ}

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	2026-05-18T02:41:32.102378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f001f193e3f7a6fcaf61441ae73a5926c38c1e746ac7a5f7b2377205bb93d97

Aliases

arxiv: math/0502195 · arxiv_version: math/0502195v2 · doi: 10.48550/arxiv.math/0502195 · pith_short_12: T4AB6GJ6H55G · pith_short_16: T4AB6GJ6H55G7SXW · pith_short_8: T4AB6GJ6

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/T4AB6GJ6H55G7SXWCRA2445FSJ \
  | 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: 9f001f193e3f7a6fcaf61441ae73a5926c38c1e746ac7a5f7b2377205bb93d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff246e64ca275e9cbf3454fac06e4fecc8e4a15b087f1c9591d2ab50ffa49fed",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-02-09T16:09:10Z",
    "title_canon_sha256": "c268b7673382bc3c55d49852e99d38e81cffad33fe28c9deef4af598b9c7f239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0502195",
    "kind": "arxiv",
    "version": 2
  }
}