Pith Number

pith:L7SKJPCV

pith:2013:L7SKJPCVZKBCB4UWO4SGAXY6QP

not attested not anchored not stored refs pending

Right-angled Artin groups and Out(F_n) I: quasi-isometric embeddings

Samuel J. Taylor

arxiv:1303.6889 v1 · 2013-03-27 · math.GT · 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{L7SKJPCVZKBCB4UWO4SGAXY6QP}

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	2026-05-18T03:29:39.421270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe4a4bc55ca8220f2967724605f1e83c214a042ee29fefdd0a8d1cfcf622aef

Aliases

arxiv: 1303.6889 · arxiv_version: 1303.6889v1 · doi: 10.48550/arxiv.1303.6889 · pith_short_12: L7SKJPCVZKBC · pith_short_16: L7SKJPCVZKBCB4UW · pith_short_8: L7SKJPCV

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/L7SKJPCVZKBCB4UWO4SGAXY6QP \
  | 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: 5fe4a4bc55ca8220f2967724605f1e83c214a042ee29fefdd0a8d1cfcf622aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4a86e3b60b2219bab37354e81e593b4b3165a07261519715532c84bf76cf12f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-27T16:44:17Z",
    "title_canon_sha256": "188110bbc8486ea42ca1fd9d2c1102a4c651b8b6ccaf8d455a4a9d68f7e9183d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6889",
    "kind": "arxiv",
    "version": 1
  }
}