Pith Number

pith:NQDXXESE

pith:2014:NQDXXESE4476RCLVBSQQCKIFQ4

not attested not anchored not stored refs pending

On quasioutomorphism groups of free groups and their transitivity properties

Pascal Schweitzer, Tobias Hartnick

arxiv:1403.2786 v1 · 2014-03-12 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQDXXESE4476RCLVBSQQCKIFQ4}

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	2026-05-18T02:56:34.140897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c077b9244e73fe889750ca10129058725e12c261b1c4fd6590c63e31997d32d

Aliases

arxiv: 1403.2786 · arxiv_version: 1403.2786v1 · doi: 10.48550/arxiv.1403.2786 · pith_short_12: NQDXXESE4476 · pith_short_16: NQDXXESE4476RCLV · pith_short_8: NQDXXESE

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/NQDXXESE4476RCLVBSQQCKIFQ4 \
  | 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: 6c077b9244e73fe889750ca10129058725e12c261b1c4fd6590c63e31997d32d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0bfa5479bd1d196d9e07350892251eebf7a40eb7c47b809b6e8f7fa08d34796",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-12T01:41:59Z",
    "title_canon_sha256": "4eb5f6fe253d4e96e83f1009a71f718f4cb8909c580c569ca47f28143680f19f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2786",
    "kind": "arxiv",
    "version": 1
  }
}