Pith Number

pith:MILXPR3F

pith:2016:MILXPR3F2DNF2CGSQMYQHV5TYJ

not attested not anchored not stored refs pending

Effective resistances and Kirchhoff Index in subdivision networks

\'Angeles Carmona, Enric Mons\'o, Margarida Mitjana

arxiv:1609.04642 v1 · 2016-09-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MILXPR3F2DNF2CGSQMYQHV5TYJ}

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	2026-05-18T01:04:36.059018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621777c765d0da5d08d2833103d7b3c24e2d51f94317137720761351cb5c5933

Aliases

arxiv: 1609.04642 · arxiv_version: 1609.04642v1 · doi: 10.48550/arxiv.1609.04642 · pith_short_12: MILXPR3F2DNF · pith_short_16: MILXPR3F2DNF2CGS · pith_short_8: MILXPR3F

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/MILXPR3F2DNF2CGSQMYQHV5TYJ \
  | 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: 621777c765d0da5d08d2833103d7b3c24e2d51f94317137720761351cb5c5933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5428565679513e65ebe5da4667cc556142e3fcb794d604cf3f0ec8d6ba76697a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-13T14:47:04Z",
    "title_canon_sha256": "420f075551fcc74c856085761f6935f09d48150f0feb5079fb2053a2c4f0a913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04642",
    "kind": "arxiv",
    "version": 1
  }
}