Pith Number

pith:7DO3I5VX

pith:2015:7DO3I5VXYJXICU6EBCYDJUCZ2E

not attested not anchored not stored refs pending

Pointwise best approximation results for Galerkin finite element solutions of parabolic problems

Boris Vexler, Dmitriy Leykekhman

arxiv:1508.01165 v2 · 2015-08-05 · 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{7DO3I5VXYJXICU6EBCYDJUCZ2E}

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	2026-05-18T00:07:55.878289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ddb476b7c26e8153c408b034d059d11a8275149d6333dc5abda6207691f5fc

Aliases

arxiv: 1508.01165 · arxiv_version: 1508.01165v2 · doi: 10.48550/arxiv.1508.01165 · pith_short_12: 7DO3I5VXYJXI · pith_short_16: 7DO3I5VXYJXICU6E · pith_short_8: 7DO3I5VX

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/7DO3I5VXYJXICU6EBCYDJUCZ2E \
  | 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: f8ddb476b7c26e8153c408b034d059d11a8275149d6333dc5abda6207691f5fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364ff61729fbf40e7753d71d3485fc3b61586ae90f06b644928665d911bf3c28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-08-05T18:49:02Z",
    "title_canon_sha256": "019374dd7043771d828f2e95413cc41068644d34618b2a86712d54972b2cf6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01165",
    "kind": "arxiv",
    "version": 2
  }
}