Pith Number

pith:PWVGLQPQ

pith:2014:PWVGLQPQGJTXKXZKY22OIGQS6T

not attested not anchored not stored refs pending

Stability in Outer Space

Sebastian Hensel, Ursula Hamenst\"adt

arxiv:1411.2281 v2 · 2014-11-09 · 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{PWVGLQPQGJTXKXZKY22OIGQS6T}

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	2026-05-18T00:48:28.851745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7daa65c1f03267755f2ac6b4e41a12f4f5ac7318290e70cb5db04e48569a978f

Aliases

arxiv: 1411.2281 · arxiv_version: 1411.2281v2 · doi: 10.48550/arxiv.1411.2281 · pith_short_12: PWVGLQPQGJTX · pith_short_16: PWVGLQPQGJTXKXZK · pith_short_8: PWVGLQPQ

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/PWVGLQPQGJTXKXZKY22OIGQS6T \
  | 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: 7daa65c1f03267755f2ac6b4e41a12f4f5ac7318290e70cb5db04e48569a978f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76232ece3dcd542e0dfed3f86b93f2cc543be7b1f20b4951fab54eb4f1ed3309",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-11-09T21:10:27Z",
    "title_canon_sha256": "254c94389be9c771a522033c83192466fe976a4399753b014432a15328d93371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2281",
    "kind": "arxiv",
    "version": 2
  }
}