Pith Number

pith:BFXUR6Y3

pith:2019:BFXUR6Y3ZBYZQHBOT6KOG2I54Z

not attested not anchored not stored refs pending

Hamiltonian descent for composite objectives

Brendan O'Donoghue, Chris J. Maddison

arxiv:1906.02608 v2 · 2019-06-06 · 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{BFXUR6Y3ZBYZQHBOT6KOG2I54Z}

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	2026-07-05T00:19:36.788250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096f48fb1bc871981c2e9f94e3691de67ac9e755d4f20d0f7ebb89c5399e3019

Aliases

arxiv: 1906.02608 · arxiv_version: 1906.02608v2 · doi: 10.48550/arxiv.1906.02608 · pith_short_12: BFXUR6Y3ZBYZ · pith_short_16: BFXUR6Y3ZBYZQHBO · pith_short_8: BFXUR6Y3

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/BFXUR6Y3ZBYZQHBOT6KOG2I54Z \
  | 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: 096f48fb1bc871981c2e9f94e3691de67ac9e755d4f20d0f7ebb89c5399e3019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eebced0e1d397a1594f6b90607d96cd11e06a2dcacc84f3bf8016850be800e9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-06T14:17:04Z",
    "title_canon_sha256": "95ef2281df765f95a4c9d393e226250cc9f2923e527ad50470f6ac793eb55401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02608",
    "kind": "arxiv",
    "version": 2
  }
}