Pith Number

pith:3VKQIOYW

pith:2021:3VKQIOYWSGMGVYXPXEL3DBKT5B

not attested not anchored not stored refs pending

Thoughts on the Consistency between Ricci Flow and Neural Network Behavior

Jun Chen, Tianxin Huang, Wenzhou Chen, Yong Liu

arxiv:2111.08410 v3 · 2021-11-16 · cs.LG · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VKQIOYWSGMGVYXPXEL3DBKT5B}

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.

Cited by

1 paper in Pith

Efficient PINNs via Multi-Head Unimodular Regularization of the Solutions Space

Receipt and verification

First computed	2026-07-05T03:57:29.923752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd55043b1691986ae2efb917b18553e85c20d9c2e8dcabec5e08567ac491d4af

Aliases

arxiv: 2111.08410 · arxiv_version: 2111.08410v3 · doi: 10.48550/arxiv.2111.08410 · pith_short_12: 3VKQIOYWSGMG · pith_short_16: 3VKQIOYWSGMGVYXP · pith_short_8: 3VKQIOYW

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/3VKQIOYWSGMGVYXPXEL3DBKT5B \
  | 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: dd55043b1691986ae2efb917b18553e85c20d9c2e8dcabec5e08567ac491d4af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9aebf4bc76c196e0be5d3c18c8e1ba3d1be8f34dec33f3dd4fc05c1199c82be",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-11-16T12:23:09Z",
    "title_canon_sha256": "61afaf1756dd763dac047d54664b166018ede598360acd5af212f9ccf475a316"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.08410",
    "kind": "arxiv",
    "version": 3
  }
}