Pith Number

pith:RROFD57K

pith:2025:RROFD57KPVUIVM3IC6LL4UWCSQ

not attested not anchored not stored refs pending

Effective resistance in planar graphs and continued fractions

Alex Kontorovich, Igor Pak, Swee Hong Chan

arxiv:2505.19168 v1 · 2025-05-25 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RROFD57KPVUIVM3IC6LL4UWCSQ}

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.

Cited by

1 paper in Pith

Independent Sets and Continued Fractions

Receipt and verification

First computed	2026-07-05T11:09:25.886218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c5c51f7ea7d688ab3681796be52c29404fd50433628ce54dd69b43408f89e9b

Aliases

arxiv: 2505.19168 · arxiv_version: 2505.19168v1 · doi: 10.48550/arxiv.2505.19168 · pith_short_12: RROFD57KPVUI · pith_short_16: RROFD57KPVUIVM3I · pith_short_8: RROFD57K

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/RROFD57KPVUIVM3IC6LL4UWCSQ \
  | 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: 8c5c51f7ea7d688ab3681796be52c29404fd50433628ce54dd69b43408f89e9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0f530d64ffbb493b9c877a1368ca057bac1c012f728cac5deed777c125478b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-25T14:36:42Z",
    "title_canon_sha256": "2ce9acd5afdf87f7267bddece3cba05c967b3e256d3b8ca26fe92aa696baa1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19168",
    "kind": "arxiv",
    "version": 1
  }
}