Pith Number

pith:E2MWNIII

pith:2014:E2MWNIIIP4R7YCJ4T34TU23D65

not attested not anchored not stored refs pending

Adjacency Criterion For Gradient Flow With Multiple Local Maxima

Xudong Chen

arxiv:1412.6731 v3 · 2014-12-21 · math.DS · cs.SY · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2MWNIIIP4R7YCJ4T34TU23D65}

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	2026-05-18T00:35:49.235854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

269966a1087f23fc093c9ef93a6b63f765e7a42474dd4cd5846fdf360805f19a

Aliases

arxiv: 1412.6731 · arxiv_version: 1412.6731v3 · doi: 10.48550/arxiv.1412.6731 · pith_short_12: E2MWNIIIP4R7 · pith_short_16: E2MWNIIIP4R7YCJ4 · pith_short_8: E2MWNIII

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/E2MWNIIIP4R7YCJ4T34TU23D65 \
  | 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: 269966a1087f23fc093c9ef93a6b63f765e7a42474dd4cd5846fdf360805f19a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8e6d2975ba19f60225f253fb35a40add4df37f802bd971afbda5efbce8c9c6",
    "cross_cats_sorted": [
      "cs.SY",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-21T06:39:20Z",
    "title_canon_sha256": "e718c046028dd5686a060b188d1d0ae3e63afb0d19db6f72f45638d788220bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6731",
    "kind": "arxiv",
    "version": 3
  }
}