Pith Number

pith:BW2AWNRI

pith:2019:BW2AWNRIN2WEYOXIHD5S2RGDYO

not attested not anchored not stored refs pending

Hessian transport gradient flows

Lexing Ying, Wuchen Li

arxiv:1905.04556 v2 · 2019-05-11 · 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{BW2AWNRIN2WEYOXIHD5S2RGDYO}

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	2026-05-17T23:46:17.306602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db40b36286eac4c3ae838fb2d44c3c3be518461cfded83aeff4b7dc85ead841

Aliases

arxiv: 1905.04556 · arxiv_version: 1905.04556v2 · doi: 10.48550/arxiv.1905.04556 · pith_short_12: BW2AWNRIN2WE · pith_short_16: BW2AWNRIN2WEYOXI · pith_short_8: BW2AWNRI

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/BW2AWNRIN2WEYOXIHD5S2RGDYO \
  | 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: 0db40b36286eac4c3ae838fb2d44c3c3be518461cfded83aeff4b7dc85ead841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3860737ce42202fb3769bdf133a8e16c37fdbac1e73aeda80ccc18b9b3b8b29",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-05-11T17:34:38Z",
    "title_canon_sha256": "6b38edddc888d372bcfd15992b8d422f2bcc9a5220c1e81fbb5b4b6589b39ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04556",
    "kind": "arxiv",
    "version": 2
  }
}