Pith Number

pith:UDOQ2TF4

pith:2017:UDOQ2TF4SOOXRAK6B6ORERJUPO

not attested not anchored not stored refs pending

Finding generators and relations for groups acting on the hyperbolic ball

Donald I. Cartwright, Tim Steger

arxiv:1701.02452 v1 · 2017-01-10 · 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{UDOQ2TF4SOOXRAK6B6ORERJUPO}

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	2026-05-18T00:53:04.228070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0dd0d4cbc939d78815e0f9d1245347ba343407c60825bc621d14091c9387d22

Aliases

arxiv: 1701.02452 · arxiv_version: 1701.02452v1 · doi: 10.48550/arxiv.1701.02452 · pith_short_12: UDOQ2TF4SOOX · pith_short_16: UDOQ2TF4SOOXRAK6 · pith_short_8: UDOQ2TF4

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/UDOQ2TF4SOOXRAK6B6ORERJUPO \
  | 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: a0dd0d4cbc939d78815e0f9d1245347ba343407c60825bc621d14091c9387d22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f247b06a66115e8ebdd1988d43c5d2110928023b0325ebbb12f2533aa3e40b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-01-10T07:20:58Z",
    "title_canon_sha256": "a2426fc69d85252d8d06a7633feb1f92cbba65ddc073f368c4d9ca69aeff50b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02452",
    "kind": "arxiv",
    "version": 1
  }
}