Pith Number

pith:52ACANN3

pith:2001:52ACANN3YHS3ZNBLABEOGUHPKX

not attested not anchored not stored refs pending

Filtered Topological Cyclic Homology and relative K-theory of nilpotent ideals

Morten Brun

arxiv:math/0104240 v1 · 2001-04-25 · 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{52ACANN3YHS3ZNBLABEOGUHPKX}

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	2026-05-18T02:41:33.313508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee802035bbc1e5bcb42b0048e350ef55f260862ebcfb6f8d35d3fef369dbdfab

Aliases

arxiv: math/0104240 · arxiv_version: math/0104240v1 · doi: 10.48550/arxiv.math/0104240 · pith_short_12: 52ACANN3YHS3 · pith_short_16: 52ACANN3YHS3ZNBL · pith_short_8: 52ACANN3

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/52ACANN3YHS3ZNBLABEOGUHPKX \
  | 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: ee802035bbc1e5bcb42b0048e350ef55f260862ebcfb6f8d35d3fef369dbdfab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "075a3e77d2a14236cabe67d33eac997ed65e6b04cf592270c5973dd3b42d04ee",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-04-25T15:32:35Z",
    "title_canon_sha256": "5420c647fe26b898fe051ca6ac599b8fd81590b65434752e6f3cf0cd0eb2ffcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0104240",
    "kind": "arxiv",
    "version": 1
  }
}