Pith Number

pith:72UB5VII

pith:2013:72UB5VIIWO2GJWOPKYI5AM6TR6

not attested not anchored not stored refs pending

Discrete gradient methods have an energy conservation law

G R W Quispel, Robert I McLachlan

arxiv:1302.4513 v1 · 2013-02-19 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72UB5VIIWO2GJWOPKYI5AM6TR6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:33:13.068175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea81ed508b3b464d9cf5611d033d38fa2501caf3b175ef52ca300e9887a540f

Aliases

arxiv: 1302.4513 · arxiv_version: 1302.4513v1 · doi: 10.48550/arxiv.1302.4513 · pith_short_12: 72UB5VIIWO2G · pith_short_16: 72UB5VIIWO2GJWOP · pith_short_8: 72UB5VII

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/72UB5VIIWO2GJWOPKYI5AM6TR6 \
  | 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: fea81ed508b3b464d9cf5611d033d38fa2501caf3b175ef52ca300e9887a540f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4e7a80a6726d26fadb8da956e2b031612eca358fe0aa6c3912ce8e80fad49f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-02-19T04:14:15Z",
    "title_canon_sha256": "2807c6a186a7274e17afbeb56e470d66f3ad6d72f30a8d3dc1ae6017ed5229cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4513",
    "kind": "arxiv",
    "version": 1
  }
}