Pith Number

pith:MAMON6N6

pith:2016:MAMON6N6GQZVK2UGHRWBU22HJS

not attested not anchored not stored refs pending

Sum rules for effective resistances in infinite graphs

Greg Markowsky, Jos\'e Luis Palacios

arxiv:1602.06002 v4 · 2016-02-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAMON6N6GQZVK2UGHRWBU22HJS}

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	2026-05-18T00:45:50.030031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6018e6f9be3433556a863c6c1a6b474c8e973d7a7be7f27622552ad8c4d15d88

Aliases

arxiv: 1602.06002 · arxiv_version: 1602.06002v4 · doi: 10.48550/arxiv.1602.06002 · pith_short_12: MAMON6N6GQZV · pith_short_16: MAMON6N6GQZVK2UG · pith_short_8: MAMON6N6

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/MAMON6N6GQZVK2UGHRWBU22HJS \
  | 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: 6018e6f9be3433556a863c6c1a6b474c8e973d7a7be7f27622552ad8c4d15d88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f5ae8e0bdd6dc109ff19ab391159358ea6b84d4a6e893e2b37e42301348bfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-18T23:36:04Z",
    "title_canon_sha256": "7a526401762c8459847edd3e03a86c8d26b8e216736f281edde51e62625a597a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06002",
    "kind": "arxiv",
    "version": 4
  }
}