Pith Number

pith:S52DOR6N

pith:2008:S52DOR6NJXDEQEPWZSVJ2KLKD5

not attested not anchored not stored refs pending

Homotopy types of reduced 2-nilpotent simplicial groups

Hans-Joachim Baues, Roman Mikhailov

arxiv:0804.2000 v1 · 2008-04-12 · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S52DOR6NJXDEQEPWZSVJ2KLKD5}

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	2026-05-18T04:41:36.895477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97743747cd4dc64811f6ccaa9d296a1f6a1ccd47d1d699bd9a7a5d3b0148e6df

Aliases

arxiv: 0804.2000 · arxiv_version: 0804.2000v1 · doi: 10.48550/arxiv.0804.2000 · pith_short_12: S52DOR6NJXDE · pith_short_16: S52DOR6NJXDEQEPW · pith_short_8: S52DOR6N

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/S52DOR6NJXDEQEPWZSVJ2KLKD5 \
  | 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: 97743747cd4dc64811f6ccaa9d296a1f6a1ccd47d1d699bd9a7a5d3b0148e6df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3303ed4edec5b364514ad099c55ea61fb8afe4e9ff44165598b36008683f7252",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-04-12T07:43:26Z",
    "title_canon_sha256": "581465ac9d368dee0b2fd59bf5172c046aacb7e4c21ab85e63b01c092fc0a092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2000",
    "kind": "arxiv",
    "version": 1
  }
}