Pith Number

pith:J6IROKDY

pith:2022:J6IROKDY74327XD7VE7CHHOC2S

not attested not anchored not stored refs pending

Automorphisms of Groups and a Higher Rank JSJ Decomposition II: The single ended case

Z. Sela

arxiv:2209.12891 v2 · 2022-09-26 · math.GR · 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{J6IROKDY74327XD7VE7CHHOC2S}

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.

Cited by

1 paper in Pith

New tools in hierarchical hyperbolicity: A survey

Receipt and verification

First computed	2026-07-05T07:16:33.931553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f91172878ff37afdc7fa93e239dc2d4aa942d1cefe349facd7d40cb156cef09

Aliases

arxiv: 2209.12891 · arxiv_version: 2209.12891v2 · doi: 10.48550/arxiv.2209.12891 · pith_short_12: J6IROKDY7432 · pith_short_16: J6IROKDY74327XD7 · pith_short_8: J6IROKDY

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/J6IROKDY74327XD7VE7CHHOC2S \
  | 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: 4f91172878ff37afdc7fa93e239dc2d4aa942d1cefe349facd7d40cb156cef09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1994187fbea5fbcf9d83243bf62bc0b360da21eaae011e2828c5b8f83f4eb9cd",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-09-26T17:59:33Z",
    "title_canon_sha256": "762d358e7852cd5b75db8980709c90287490e68313f99674eab83efaed55ffb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12891",
    "kind": "arxiv",
    "version": 2
  }
}