Pith Number

pith:UMTF7DM5

pith:2020:UMTF7DM52BXH2FCKBZSXHUENGU

not attested not anchored not stored refs pending

Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems

Xinyuan Wu, Yu-Wen Li

arxiv:2012.13064 v1 · 2020-12-24 · math.NA · cs.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{UMTF7DM52BXH2FCKBZSXHUENGU}

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	2026-07-05T02:01:47.490084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3265f8d9dd06e7d144a0e6573d08d353a228007ff349d79968312e18d56b617

Aliases

arxiv: 2012.13064 · arxiv_version: 2012.13064v1 · doi: 10.48550/arxiv.2012.13064 · pith_short_12: UMTF7DM52BXH · pith_short_16: UMTF7DM52BXH2FCK · pith_short_8: UMTF7DM5

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/UMTF7DM52BXH2FCKBZSXHUENGU \
  | 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: a3265f8d9dd06e7d144a0e6573d08d353a228007ff349d79968312e18d56b617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa358dcff80478bab871027f79e23df5554855366abe2a1b523277d843569c5",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-12-24T01:48:04Z",
    "title_canon_sha256": "81b6d061fcf79f60a29e6f64e90c9f08fda035044daaed6812974cfd2a709369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.13064",
    "kind": "arxiv",
    "version": 1
  }
}