Pith Number

pith:JRF7QDQM

pith:2015:JRF7QDQMFBAFYBOW35BEC5L5X5

not attested not anchored not stored refs pending

The rational homology of the outer automorphism group of $F_7$

Laurent Bartholdi

arxiv:1512.03075 v2 · 2015-12-09 · math.GR · cs.DM · 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{JRF7QDQMFBAFYBOW35BEC5L5X5}

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	2026-05-18T01:11:54.860944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c4bf80e0c28405c05d6df4241757dbf64e5676cce7749da6da9ad2833b4010b

Aliases

arxiv: 1512.03075 · arxiv_version: 1512.03075v2 · doi: 10.48550/arxiv.1512.03075 · pith_short_12: JRF7QDQMFBAF · pith_short_16: JRF7QDQMFBAFYBOW · pith_short_8: JRF7QDQM

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/JRF7QDQMFBAFYBOW35BEC5L5X5 \
  | 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: 4c4bf80e0c28405c05d6df4241757dbf64e5676cce7749da6da9ad2833b4010b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efd24d678ecff7b0a784e94fbb0981eca7a63847037d352dcc392942957da56d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-09T21:02:32Z",
    "title_canon_sha256": "3e0358c67ac51c20fb6937e52d3920f7c0f917d8e56f19fab34daaa06db12c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03075",
    "kind": "arxiv",
    "version": 2
  }
}