Pith Number

pith:6JJ6L6LW

pith:2013:6JJ6L6LW7LZGWCI76IQWMRSBK6

not attested not anchored not stored refs pending

$Out(F_3)$ Index Realization

Catherine Pfaff

arxiv:1311.4490 v2 · 2013-11-18 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6JJ6L6LW7LZGWCI76IQWMRSBK6}

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	2026-05-18T02:43:24.248386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f253e5f976faf26b091ff2216646415780958ff8117d9d65ad189c90174d5edb

Aliases

arxiv: 1311.4490 · arxiv_version: 1311.4490v2 · doi: 10.48550/arxiv.1311.4490 · pith_short_12: 6JJ6L6LW7LZG · pith_short_16: 6JJ6L6LW7LZGWCI7 · pith_short_8: 6JJ6L6LW

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/6JJ6L6LW7LZGWCI76IQWMRSBK6 \
  | 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: f253e5f976faf26b091ff2216646415780958ff8117d9d65ad189c90174d5edb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7380594992fdf632ff0af3abfa1584ba9b2753aa5e3b47a82b347acf874e4cd",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-18T18:50:36Z",
    "title_canon_sha256": "e41bb640942a5950c6967ed8b8f009efb3112fac995795ff25c6b6b695489a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4490",
    "kind": "arxiv",
    "version": 2
  }
}