Pith Number

pith:P36VKLHC

pith:2017:P36VKLHC6B2WND2A3ODF3YROIH

not attested not anchored not stored refs pending

On the connectivity of level sets of automorphisms of free groups, with applications to decision problems

Armando Martino, Stefano Francaviglia

arxiv:1703.09945 v1 · 2017-03-29 · math.GR · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P36VKLHC6B2WND2A3ODF3YROIH}

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	2026-05-18T00:47:38.952888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7efd552ce2f075668f40db865de22e41ebaf32c98365c9219700cdbc9573e149

Aliases

arxiv: 1703.09945 · arxiv_version: 1703.09945v1 · doi: 10.48550/arxiv.1703.09945 · pith_short_12: P36VKLHC6B2W · pith_short_16: P36VKLHC6B2WND2A · pith_short_8: P36VKLHC

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/P36VKLHC6B2WND2A3ODF3YROIH \
  | 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: 7efd552ce2f075668f40db865de22e41ebaf32c98365c9219700cdbc9573e149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90cf8468e73deff736ad7e15addd9b9aaa7e8e573664a861ba65d2999c840bc1",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-29T09:27:57Z",
    "title_canon_sha256": "0b01384c87972efdad5b2a63894505bffabcdbcfdcf21ac5ce05f44bef853b9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09945",
    "kind": "arxiv",
    "version": 1
  }
}