Pith Number

pith:7D7KI6PX

pith:2020:7D7KI6PXITFKAWHCMM6YL3QZNK

not attested not anchored not stored refs pending

Condensed groups in product varieties

D. Osin

arxiv:2009.08046 v3 · 2020-09-17 · 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{7D7KI6PXITFKAWHCMM6YL3QZNK}

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

Fixed-Effect Saturation Is Not Weak Identification: Certifying Inference under Measurement Error

Receipt and verification

First computed	2026-07-05T02:14:54.902410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8fea479f744caa058e2633d85ee196aa357fd0a34e0f65d32d7684ebfb331ae

Aliases

arxiv: 2009.08046 · arxiv_version: 2009.08046v3 · doi: 10.48550/arxiv.2009.08046 · pith_short_12: 7D7KI6PXITFK · pith_short_16: 7D7KI6PXITFKAWHC · pith_short_8: 7D7KI6PX

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/7D7KI6PXITFKAWHCMM6YL3QZNK \
  | 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: f8fea479f744caa058e2633d85ee196aa357fd0a34e0f65d32d7684ebfb331ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c71cc4883255b85efda12378dde0d39f90f328ff0b277e4b71f414345876f12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-09-17T03:48:26Z",
    "title_canon_sha256": "cdbfbf51009da3aa25d86a8824b42b47d3219ef67033186929820c78e498a3b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.08046",
    "kind": "arxiv",
    "version": 3
  }
}