Pith Number

pith:FIZPXSKU

pith:2010:FIZPXSKU77ECH7AZZTEISQLRLF

not attested not anchored not stored refs pending

On the Generic Type of the Free Group

Rizos Sklinos

arxiv:1011.3178 v1 · 2010-11-14 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIZPXSKU77ECH7AZZTEISQLRLF}

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	2026-05-18T04:24:27.459618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a32fbc954ffc823fc19ccc889417159608280e976597f77d215380e534bdc67

Aliases

arxiv: 1011.3178 · arxiv_version: 1011.3178v1 · doi: 10.48550/arxiv.1011.3178 · pith_short_12: FIZPXSKU77EC · pith_short_16: FIZPXSKU77ECH7AZ · pith_short_8: FIZPXSKU

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/FIZPXSKU77ECH7AZZTEISQLRLF \
  | 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: 2a32fbc954ffc823fc19ccc889417159608280e976597f77d215380e534bdc67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03d6ac58ce2312a64d746574b4af766d3a2e75d6d0830781e1d5bed66f110140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-11-14T02:56:27Z",
    "title_canon_sha256": "ef4b5c2163e449ce97dec4b35b5a1fa91a94580dc636f6a2a5c65f5d5198f1be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3178",
    "kind": "arxiv",
    "version": 1
  }
}