Pith Number

pith:35GVX6TN

pith:2014:35GVX6TN4LWFSZLHIVSFG57MXD

not attested not anchored not stored refs pending

The JSJ-decompositions of one-relator groups with torsion

Alan D. Logan

arxiv:1412.5357 v2 · 2014-12-17 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35GVX6TN4LWFSZLHIVSFG57MXD}

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	2026-05-18T00:02:28.548919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df4d5bfa6de2ec59656745645377ecb8ea09e7e345d1577849a3ce8b12ac57cc

Aliases

arxiv: 1412.5357 · arxiv_version: 1412.5357v2 · doi: 10.48550/arxiv.1412.5357 · pith_short_12: 35GVX6TN4LWF · pith_short_16: 35GVX6TN4LWFSZLH · pith_short_8: 35GVX6TN

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/35GVX6TN4LWFSZLHIVSFG57MXD \
  | 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: df4d5bfa6de2ec59656745645377ecb8ea09e7e345d1577849a3ce8b12ac57cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "107380535b8d04c03ec8af36f41f547a97d20a1c05cb8f47c23288e9d757ea0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-17T12:11:12Z",
    "title_canon_sha256": "0dcd3bfe1f3f6f30fe5321ffdca46d96758efc777b97a4d518945e08062b2fc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5357",
    "kind": "arxiv",
    "version": 2
  }
}