Pith Number

pith:CXIXSSOI

pith:2015:CXIXSSOIIZDOMQMMNPXQRZUJFT

not attested not anchored not stored refs pending

Graph Homology and Stability of Coupled Oscillator Networks

Jared C. Bronski, Lee DeVille, Timothy Ferguson

arxiv:1508.01507 v1 · 2015-08-06 · math.DS · cond-mat.dis-nn · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXIXSSOIIZDOMQMMNPXQRZUJFT}

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	2026-05-18T01:35:42.443811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d17949c84646e6418c6bef08e6892ce3697043ea91534eda29fde5cd6277ec

Aliases

arxiv: 1508.01507 · arxiv_version: 1508.01507v1 · doi: 10.48550/arxiv.1508.01507 · pith_short_12: CXIXSSOIIZDO · pith_short_16: CXIXSSOIIZDOMQMM · pith_short_8: CXIXSSOI

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/CXIXSSOIIZDOMQMMNPXQRZUJFT \
  | 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: 15d17949c84646e6418c6bef08e6892ce3697043ea91534eda29fde5cd6277ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2108d776c1ecef81a0b7984dfc9f2a330d86102fcbdd817b23f12642c92278f2",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-06T19:55:52Z",
    "title_canon_sha256": "e8a1103cd29395380c3c5fe4fca3b022191f3a75c459d70f98dd68771f212dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01507",
    "kind": "arxiv",
    "version": 1
  }
}