Pith Number

pith:GMWTOQAC

pith:2013:GMWTOQACAVOJEPBR5KZDJYTB2O

not attested not anchored not stored refs pending

Transmutation techniques and observability for time-discrete approximation schemes of conservative systems

Enrique Zuazua (BCAM), Sylvain Ervedoza (IMT)

arxiv:1304.7749 v1 · 2013-04-29 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMWTOQACAVOJEPBR5KZDJYTB2O}

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	2026-05-18T03:26:53.219880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

332d374002055c923c31eab234e261d3b940cc37c79e4c49d730b6b0dc1cb41a

Aliases

arxiv: 1304.7749 · arxiv_version: 1304.7749v1 · doi: 10.48550/arxiv.1304.7749 · pith_short_12: GMWTOQACAVOJ · pith_short_16: GMWTOQACAVOJEPBR · pith_short_8: GMWTOQAC

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/GMWTOQACAVOJEPBR5KZDJYTB2O \
  | 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: 332d374002055c923c31eab234e261d3b940cc37c79e4c49d730b6b0dc1cb41a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1df2eaa9f48ed4b43d6f6ebba63adb18e270cf378959999c03b06300c8623d9",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-29T19:29:26Z",
    "title_canon_sha256": "ca7c9ab7165682bd29340c804e9e2f7c31e185263c4ab5d63e07dddc69700450"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7749",
    "kind": "arxiv",
    "version": 1
  }
}