Pith Number

pith:AO5IYF2V

pith:2011:AO5IYF2VZWMTZNEPVAUXMUK3MH

not attested not anchored not stored refs pending

Prolongation-Collocation Variational Integrators

Melvin Leok, Tatiana Shingel

arxiv:1101.1995 v1 · 2011-01-11 · 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{AO5IYF2VZWMTZNEPVAUXMUK3MH}

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	2026-05-18T02:22:59.077356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03ba8c1755cd993cb48fa82976515b61d469b9076f098f949a06b28132f2fdb4

Aliases

arxiv: 1101.1995 · arxiv_version: 1101.1995v1 · doi: 10.48550/arxiv.1101.1995 · pith_short_12: AO5IYF2VZWMT · pith_short_16: AO5IYF2VZWMTZNEP · pith_short_8: AO5IYF2V

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/AO5IYF2VZWMTZNEPVAUXMUK3MH \
  | 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: 03ba8c1755cd993cb48fa82976515b61d469b9076f098f949a06b28132f2fdb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a32e6587c12dcf1708a5c800b17a9967d2cd8b8c45c15fa91c160c6bddcad41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-01-11T00:27:00Z",
    "title_canon_sha256": "1a72b2899481a71f09cf6bd0a2983f48705430b683cc896156ee4d2423737e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1995",
    "kind": "arxiv",
    "version": 1
  }
}