Pith Number

pith:X6CP2A2F

pith:2017:X6CP2A2F5FDQBWZQB5VEKRTUX7

not attested not anchored not stored refs pending

Error estimates for Galerkin approximations of the Serre equations

Dimitrios Antonopoulos, Dimitrios Mitsotakis, Vassilios Dougalis

arxiv:1701.00668 v1 · 2017-01-03 · 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{X6CP2A2F5FDQBWZQB5VEKRTUX7}

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	2026-05-18T00:53:28.590569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf84fd0345e94700db300f6a454674bfcce94045d9db765055aca55886a12a56

Aliases

arxiv: 1701.00668 · arxiv_version: 1701.00668v1 · doi: 10.48550/arxiv.1701.00668 · pith_short_12: X6CP2A2F5FDQ · pith_short_16: X6CP2A2F5FDQBWZQ · pith_short_8: X6CP2A2F

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/X6CP2A2F5FDQBWZQB5VEKRTUX7 \
  | 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: bf84fd0345e94700db300f6a454674bfcce94045d9db765055aca55886a12a56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7533d893908ade16a672b16e1f42381f9d424e540b237c74fb942a5262de6fe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-01-03T11:40:08Z",
    "title_canon_sha256": "7ab5c5319b53f72925c4a4bdae4d9155640317a8e62354a5159f06276c1f837f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00668",
    "kind": "arxiv",
    "version": 1
  }
}