Pith Number

pith:AIQX7VT2

pith:2014:AIQX7VT2G46L5XL2YAETXYJLGC

not attested not anchored not stored refs pending

Ergodic decomposition of group actions on rooted trees

Dmytro Savchuk, Rostislav Grigorchuk

arxiv:1412.8020 v2 · 2014-12-27 · 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{AIQX7VT2G46L5XL2YAETXYJLGC}

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	2026-05-18T02:26:52.610413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02217fd67a373cbedd7ac0093be12b3082aa30213e4a09a605ecf8c366f2fd5a

Aliases

arxiv: 1412.8020 · arxiv_version: 1412.8020v2 · doi: 10.48550/arxiv.1412.8020 · pith_short_12: AIQX7VT2G46L · pith_short_16: AIQX7VT2G46L5XL2 · pith_short_8: AIQX7VT2

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/AIQX7VT2G46L5XL2YAETXYJLGC \
  | 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: 02217fd67a373cbedd7ac0093be12b3082aa30213e4a09a605ecf8c366f2fd5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a517996fb26f0225036b5bbafdf341f33d7a1f121fab8692a5661a46f3ba1f2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-27T05:55:18Z",
    "title_canon_sha256": "bb9edfa8a62af8f82023f70e0c7a331ad1767e90f834c76e3f3a862beef9924a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8020",
    "kind": "arxiv",
    "version": 2
  }
}