Pith Number

pith:CWZMU7MW

pith:2015:CWZMU7MWZCU44HWAB7E7H2RJWI

not attested not anchored not stored refs pending

Some remarks on the comparison principle in Kirchhoff equations

Antonio Suarez, Giovany M. Figueiredo

arxiv:1510.02151 v1 · 2015-10-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWZMU7MWZCU44HWAB7E7H2RJWI}

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	2026-05-18T01:30:44.616458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b2ca7d96c8a9ce1ec00fc9f3ea29b20068906ed3d5732a065315d5f2271ef6

Aliases

arxiv: 1510.02151 · arxiv_version: 1510.02151v1 · doi: 10.48550/arxiv.1510.02151 · pith_short_12: CWZMU7MWZCU4 · pith_short_16: CWZMU7MWZCU44HWA · pith_short_8: CWZMU7MW

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/CWZMU7MWZCU44HWAB7E7H2RJWI \
  | 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: 15b2ca7d96c8a9ce1ec00fc9f3ea29b20068906ed3d5732a065315d5f2271ef6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98fb12148e6f9ee0acd1e65234ad045f485834e984bfadcdca7b0045f0a46bd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-07T21:59:24Z",
    "title_canon_sha256": "e18e862af56c78b60414ed1c2aedf266d0e553b7c26b1c8a8711d8dfe7e1c8e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02151",
    "kind": "arxiv",
    "version": 1
  }
}