Pith Number

pith:MBOPSPYC

pith:2013:MBOPSPYCJYTHGW4OMZ5K5CVRG7

not attested not anchored not stored refs pending

Average Stretch Factor: How Low Does It Go?

Michiel Smid, Pat Morin, Vida Dujmovic

arxiv:1305.4170 v2 · 2013-05-17 · cs.CG · cs.NI · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBOPSPYCJYTHGW4OMZ5K5CVRG7}

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	2026-05-18T03:06:03.215846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

605cf93f024e26735b8e667aae8ab137cbf428fc0501dd37c87e7488d5c19cd9

Aliases

arxiv: 1305.4170 · arxiv_version: 1305.4170v2 · doi: 10.48550/arxiv.1305.4170 · pith_short_12: MBOPSPYCJYTH · pith_short_16: MBOPSPYCJYTHGW4O · pith_short_8: MBOPSPYC

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/MBOPSPYCJYTHGW4OMZ5K5CVRG7 \
  | 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: 605cf93f024e26735b8e667aae8ab137cbf428fc0501dd37c87e7488d5c19cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91e3c18c773c30f3798d1d7709949e497a4229df5b5e47b5ab36a86043ba0c55",
    "cross_cats_sorted": [
      "cs.NI",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-05-17T19:55:03Z",
    "title_canon_sha256": "059ce23057954ad06d02e12ef31245d79ddb8e0da20c29bd8e79256f869dbb35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4170",
    "kind": "arxiv",
    "version": 2
  }
}