Pith Number

pith:3XA3NWIE

pith:2016:3XA3NWIEWQUD7BYWH7RPUZ4O2Q

not attested not anchored not stored refs pending

Stochastic Discrete Hamiltonian Variational Integrators

Darryl D. Holm, Tomasz M. Tyranowski

arxiv:1609.00463 v3 · 2016-09-02 · math.NA · cs.NA · math-ph · math.DS · math.MP · math.PR · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3XA3NWIEWQUD7BYWH7RPUZ4O2Q}

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	2026-06-04T18:09:59.389171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddc1b6d904b4283f87163fe2fa678ed419b4665b899e65af86ec41623c44dbc9

Aliases

arxiv: 1609.00463 · arxiv_version: 1609.00463v3 · doi: 10.48550/arxiv.1609.00463 · pith_short_12: 3XA3NWIEWQUD · pith_short_16: 3XA3NWIEWQUD7BYW · pith_short_8: 3XA3NWIE

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/3XA3NWIEWQUD7BYWH7RPUZ4O2Q \
  | 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: ddc1b6d904b4283f87163fe2fa678ed419b4665b899e65af86ec41623c44dbc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906213a53d4da5bc16f773d5d226de56351d866e214718c123961f383b0f46d4",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.DS",
      "math.MP",
      "math.PR",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-02T04:20:36Z",
    "title_canon_sha256": "af57e31a3d94025bfa7ed4d691b4cffba89719a9a660ab90e2fa041f52709d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00463",
    "kind": "arxiv",
    "version": 3
  }
}