Pith Number

pith:4OZ2UCUT

pith:2011:4OZ2UCUTKHPNFBAOEP4HBBM7GU

not attested not anchored not stored refs pending

General Techniques for Constructing Variational Integrators

Melvin Leok, Tatiana Shingel

arxiv:1102.2685 v1 · 2011-02-14 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OZ2UCUTKHPNFBAOEP4HBBM7GU}

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	2026-05-18T04:28:46.700734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b3aa0a9351ded2840e23f870859f35362fe9c146ab98ba979fb664929fddb8

Aliases

arxiv: 1102.2685 · arxiv_version: 1102.2685v1 · doi: 10.48550/arxiv.1102.2685 · pith_short_12: 4OZ2UCUTKHPN · pith_short_16: 4OZ2UCUTKHPNFBAO · pith_short_8: 4OZ2UCUT

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/4OZ2UCUTKHPNFBAOEP4HBBM7GU \
  | 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: e3b3aa0a9351ded2840e23f870859f35362fe9c146ab98ba979fb664929fddb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d69cf341f76eca06e1e61993b6e6f35ac645d713bf1997da7f28f93402e7a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-02-14T06:39:57Z",
    "title_canon_sha256": "03e9ca319a409eb5c32308595ef51e0d538662850b7f82d7781502fd3b087aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2685",
    "kind": "arxiv",
    "version": 1
  }
}