Pith Number

pith:P6DOP4GQ

pith:2016:P6DOP4GQ3YWELWVVBT2W2EUP62

not attested not anchored not stored refs pending

Global and interior pointwise best approximation results for the gradient of Galerkin solutions for parabolic problems

Boris Vexler, Dmitriy Leykekhman

arxiv:1606.06071 v2 · 2016-06-20 · 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{P6DOP4GQ3YWELWVVBT2W2EUP62}

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	2026-05-18T00:07:55.779950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f86e7f0d0de2c45dab50cf56d128ff69338002680d5575ca144af478df38de2

Aliases

arxiv: 1606.06071 · arxiv_version: 1606.06071v2 · doi: 10.48550/arxiv.1606.06071 · pith_short_12: P6DOP4GQ3YWE · pith_short_16: P6DOP4GQ3YWELWVV · pith_short_8: P6DOP4GQ

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/P6DOP4GQ3YWELWVVBT2W2EUP62 \
  | 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: 7f86e7f0d0de2c45dab50cf56d128ff69338002680d5575ca144af478df38de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec98e1ff9f11fa50d2db505697e98152603eca97832a2769216164cf11145d48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-06-20T11:38:39Z",
    "title_canon_sha256": "c9ef0f7fca83b787a13bc1188c5ccf605d8d953b2d754b1a4caa99a72c83fdeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06071",
    "kind": "arxiv",
    "version": 2
  }
}