Pith Number

pith:IWXCF25I

pith:2019:IWXCF25I2GVQEOJDRI3CW2C37C

not attested not anchored not stored refs pending

On the stability of optimization algorithms given by discretizations of the Euler-Lagrange ODE

Emily Zhang, Rachel Walker

arxiv:1908.10426 v1 · 2019-08-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWXCF25I2GVQEOJDRI3CW2C37C}

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	2026-07-05T00:00:17.160579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ae22eba8d1ab0239238a362b685bf8930ab299630cc0fd58f575318ed2950e

Aliases

arxiv: 1908.10426 · arxiv_version: 1908.10426v1 · doi: 10.48550/arxiv.1908.10426 · pith_short_12: IWXCF25I2GVQ · pith_short_16: IWXCF25I2GVQEOJD · pith_short_8: IWXCF25I

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/IWXCF25I2GVQEOJDRI3CW2C37C \
  | 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: 45ae22eba8d1ab0239238a362b685bf8930ab299630cc0fd58f575318ed2950e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe02e90e868ccbebe71a25a5a90141a82722d061036db3721ed55adf8612d5bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-08-27T19:32:24Z",
    "title_canon_sha256": "7c2b6bccc73234a772196f4d1d3bac7176c582151adf696c0ee7e4a935848a61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.10426",
    "kind": "arxiv",
    "version": 1
  }
}