Pith Number

pith:MAF5NTSS

pith:2016:MAF5NTSSP2JNJJXMYE4YVSJMYQ

not attested not anchored not stored refs pending

On the exact discrete Lagrangian function for variational integrators: theory and applications

D. Mart\'in de Diego, E. Mart\'inez, J. C. Marrero

arxiv:1608.01586 v1 · 2016-08-04 · math.DG · math-ph · math.MP · 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{MAF5NTSSP2JNJJXMYE4YVSJMYQ}

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	2026-05-18T01:09:52.052077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

600bd6ce527e92d4a6ecc1398ac92cc40bc50bac747c22bd800fca137002649f

Aliases

arxiv: 1608.01586 · arxiv_version: 1608.01586v1 · doi: 10.48550/arxiv.1608.01586 · pith_short_12: MAF5NTSSP2JN · pith_short_16: MAF5NTSSP2JNJJXM · pith_short_8: MAF5NTSS

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/MAF5NTSSP2JNJJXMYE4YVSJMYQ \
  | 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: 600bd6ce527e92d4a6ecc1398ac92cc40bc50bac747c22bd800fca137002649f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306de71a0f32c2bf50c378a7b5fea553dc1959b1a654d858411c6b668fe6c8a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-04T15:35:05Z",
    "title_canon_sha256": "d357457c2bd3b90f8339f2c147d6970e26c6dca1f33a7d72bb40ad22a3d5f0d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01586",
    "kind": "arxiv",
    "version": 1
  }
}