Pith Number

pith:TMECRQ2P

pith:2014:TMECRQ2P4APQLYS7NYQFIXMLAU

not attested not anchored not stored refs pending

A note on LERF groups and generic group actions

Daniel Kitroser, Yair Glasner

arxiv:1409.4737 v1 · 2014-09-16 · 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{TMECRQ2P4APQLYS7NYQFIXMLAU}

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	2026-05-18T02:42:44.967074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0828c34fe01f05e25f6e20545d8b053bc9ce654a2ed9b61f740466c359961d

Aliases

arxiv: 1409.4737 · arxiv_version: 1409.4737v1 · doi: 10.48550/arxiv.1409.4737 · pith_short_12: TMECRQ2P4APQ · pith_short_16: TMECRQ2P4APQLYS7 · pith_short_8: TMECRQ2P

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/TMECRQ2P4APQLYS7NYQFIXMLAU \
  | 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: 9b0828c34fe01f05e25f6e20545d8b053bc9ce654a2ed9b61f740466c359961d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5460c5439b81ae842d642f736375a0453fd60dc6ae417229623159db91245509",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-16T19:17:48Z",
    "title_canon_sha256": "49b98e3914d4b52bf7a7adf6ed53fc01db2b6a79514526a7338386ccf5476294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4737",
    "kind": "arxiv",
    "version": 1
  }
}