Pith Number

pith:CGKA7BAH

pith:2019:CGKA7BAHOKXPRI7JMSC5MLKQCY

not attested not anchored not stored refs pending

Surface groups are flexibly stable

Arie Levit, Nir Lazarovich, Yair Minsky

arxiv:1901.07182 v3 · 2019-01-22 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGKA7BAHOKXPRI7JMSC5MLKQCY}

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

Conditional representation stability, classification of $*$-homomorphisms, and relative eta invariants

Receipt and verification

First computed	2026-07-05T09:58:55.428439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11940f840772aef8a3e96485d62d501601a9586d041fd2511771bd7414831a3e

Aliases

arxiv: 1901.07182 · arxiv_version: 1901.07182v3 · doi: 10.48550/arxiv.1901.07182 · pith_short_12: CGKA7BAHOKXP · pith_short_16: CGKA7BAHOKXPRI7J · pith_short_8: CGKA7BAH

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/CGKA7BAHOKXPRI7JMSC5MLKQCY \
  | 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: 11940f840772aef8a3e96485d62d501601a9586d041fd2511771bd7414831a3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b18e4a87f0771e381ee6014864d81abfd9283e4c5869ef92b8a6321b8ae78a1a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-01-22T06:01:47Z",
    "title_canon_sha256": "ac6b3295244a69e129d100a43a8f737c122507904b6353b1b87b9954c4240505"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07182",
    "kind": "arxiv",
    "version": 3
  }
}