Pith Number

pith:YIC4SH4N

pith:2011:YIC4SH4N6LCOGONJT7J2VKQQ2Q

not attested not anchored not stored refs pending

Invariants of orbit equivalence relations and Baumslag-Solitar groups

Yoshikata Kida

arxiv:1111.3701 v3 · 2011-11-16 · math.GR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIC4SH4N6LCOGONJT7J2VKQQ2Q}

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	2026-05-18T02:30:16.079167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c205c91f8df2c4e339a99fd3aaaa10d420e4379baadb1efe532d0f7f9ecf2e01

Aliases

arxiv: 1111.3701 · arxiv_version: 1111.3701v3 · doi: 10.48550/arxiv.1111.3701 · pith_short_12: YIC4SH4N6LCO · pith_short_16: YIC4SH4N6LCOGONJ · pith_short_8: YIC4SH4N

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/YIC4SH4N6LCOGONJT7J2VKQQ2Q \
  | 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: c205c91f8df2c4e339a99fd3aaaa10d420e4379baadb1efe532d0f7f9ecf2e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30379eefec6b872ad7e3bdfe2376d4343e6a278afb0cac5a8b68f4f2b79b4f39",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-16T01:30:12Z",
    "title_canon_sha256": "519751084f93d7928512a004ccc78f2ce08ef14619bc5ad1104dc6cb63b8704a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3701",
    "kind": "arxiv",
    "version": 3
  }
}