Pith Number

pith:6B6ECYD3

pith:2013:6B6ECYD3OXR3ZK4MJLRX7LVUXV

not attested not anchored not stored refs pending

Lone Axes in Outer Space

Catherine Pfaff, Lee Mosher

arxiv:1311.6855 v3 · 2013-11-27 · 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{6B6ECYD3OXR3ZK4MJLRX7LVUXV}

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	2026-05-18T00:54:20.867261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f07c41607b75e3bcab8c4ae37faeb4bd5e55bc8776a4e84de96cca8871334a1a

Aliases

arxiv: 1311.6855 · arxiv_version: 1311.6855v3 · doi: 10.48550/arxiv.1311.6855 · pith_short_12: 6B6ECYD3OXR3 · pith_short_16: 6B6ECYD3OXR3ZK4M · pith_short_8: 6B6ECYD3

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/6B6ECYD3OXR3ZK4MJLRX7LVUXV \
  | 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: f07c41607b75e3bcab8c4ae37faeb4bd5e55bc8776a4e84de96cca8871334a1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "467efcde54291c3c339352b2395a568e1f0305e920d13b2815a1a75d0dfc4e2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-11-27T01:45:16Z",
    "title_canon_sha256": "574350ef85d58f9e4a3ab1af5c34239d0ee42027f0a75fad77cfe99ec2d2daab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6855",
    "kind": "arxiv",
    "version": 3
  }
}