Pith Number

pith:6TEEBOLO

pith:2016:6TEEBOLOOTYBZODJZG44RNEYVU

not attested not anchored not stored refs pending

Filtrations of free groups arising from the lower central series

Ido Efrat, Michael Chapman

arxiv:1601.08006 v1 · 2016-01-29 · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TEEBOLOOTYBZODJZG44RNEYVU}

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	2026-05-18T01:21:41.249747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c840b96e74f01cb869c9b9c8b498ad08a9253ad38e09a5c12a054ab76f715f

Aliases

arxiv: 1601.08006 · arxiv_version: 1601.08006v1 · doi: 10.48550/arxiv.1601.08006 · pith_short_12: 6TEEBOLOOTYB · pith_short_16: 6TEEBOLOOTYBZODJ · pith_short_8: 6TEEBOLO

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/6TEEBOLOOTYBZODJZG44RNEYVU \
  | 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: f4c840b96e74f01cb869c9b9c8b498ad08a9253ad38e09a5c12a054ab76f715f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43b31219a3133c86c30104ba6384a756fb696ffceba665127a1ceaaa5c5bbb45",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-29T09:03:12Z",
    "title_canon_sha256": "4e8352021ee1cc524d7226911ffeb7acfefff0606822df4221443a58c83cbfb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.08006",
    "kind": "arxiv",
    "version": 1
  }
}