Pith Number

pith:KMUD2MCB

pith:2009:KMUD2MCBVJU2OH72I4X2YRQF5V

not attested not anchored not stored refs pending

Some geodesic problems in groups

Andrew Rechnitzer, Murray Elder

arxiv:0907.3258 v3 · 2009-07-20 · 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{KMUD2MCBVJU2OH72I4X2YRQF5V}

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	2026-05-18T03:01:11.862426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53283d3041aa69a71ffa472fac4605ed7b22c6436c999c189d84726635dac7a0

Aliases

arxiv: 0907.3258 · arxiv_version: 0907.3258v3 · doi: 10.48550/arxiv.0907.3258 · pith_short_12: KMUD2MCBVJU2 · pith_short_16: KMUD2MCBVJU2OH72 · pith_short_8: KMUD2MCB

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/KMUD2MCBVJU2OH72I4X2YRQF5V \
  | 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: 53283d3041aa69a71ffa472fac4605ed7b22c6436c999c189d84726635dac7a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ecc22c61d0da262c486e92c7fb90070fdb54c5026a04cacb09f947df3bdd9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-07-20T01:17:41Z",
    "title_canon_sha256": "1660c39b1f88342028720b153af9ff1f870f3ffe36b1c83cbc93f640bd489c55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3258",
    "kind": "arxiv",
    "version": 3
  }
}