Pith Number

pith:SG57LOLM

pith:2010:SG57LOLMY7TFROX6R4ZO2AYNOT

not attested not anchored not stored refs pending

Homological finiteness in the Johnson filtration of the automorphism group of a free group

Alexander I. Suciu, Stefan Papadima

arxiv:1011.5292 v2 · 2010-11-24 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SG57LOLMY7TFROX6R4ZO2AYNOT}

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	2026-05-18T03:39:53.308061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91bbf5b96cc7e658bafe8f32ed030d74dd3a18e6bf7cb4aeeeb2d4ebfb8672eb

Aliases

arxiv: 1011.5292 · arxiv_version: 1011.5292v2 · doi: 10.48550/arxiv.1011.5292 · pith_short_12: SG57LOLMY7TF · pith_short_16: SG57LOLMY7TFROX6 · pith_short_8: SG57LOLM

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/SG57LOLMY7TFROX6R4ZO2AYNOT \
  | 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: 91bbf5b96cc7e658bafe8f32ed030d74dd3a18e6bf7cb4aeeeb2d4ebfb8672eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1ead5c7fa969e4b10c2c15d458f60f3c2f448b430ffc85a05a49a29e39dbad7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-24T04:31:51Z",
    "title_canon_sha256": "87ad60f25bcc3535a7e96883189751f168fbf09960b524cce3644bed033f636a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5292",
    "kind": "arxiv",
    "version": 2
  }
}