Pith Number

pith:JRNDQBG6

pith:2019:JRNDQBG6ZNY2AS5QOUN7X4FHOR

not attested not anchored not stored refs pending

Some Orbits of Free Words that are Determined by Measures on Finite Groups

Chen Meiri, Doron Puder, Liam Hanany

arxiv:1908.03801 v2 · 2019-08-10 · 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{JRNDQBG6ZNY2AS5QOUN7X4FHOR}

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	2026-07-05T01:23:09.109717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c5a3804decb71a04bb0751bfbf0a7747a6c55db79ed0f98c695b5f0e5e70ed1

Aliases

arxiv: 1908.03801 · arxiv_version: 1908.03801v2 · doi: 10.48550/arxiv.1908.03801 · pith_short_12: JRNDQBG6ZNY2 · pith_short_16: JRNDQBG6ZNY2AS5Q · pith_short_8: JRNDQBG6

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/JRNDQBG6ZNY2AS5QOUN7X4FHOR \
  | 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: 4c5a3804decb71a04bb0751bfbf0a7747a6c55db79ed0f98c695b5f0e5e70ed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1694ce195e18fa17521a6a3d986d679d26ab573c0e753b766a6eb5830ae40152",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-10T20:33:46Z",
    "title_canon_sha256": "f99f32192241e7987dbf0f7b93ef0dc6b0c5a957f5dd21575135c94581da7447"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03801",
    "kind": "arxiv",
    "version": 2
  }
}