Pith Number

pith:3RWQT7DA

pith:2016:3RWQT7DAMJ5UGIQWJCVYVUNHJK

not attested not anchored not stored refs pending

A unified analysis of quasi-optimal convergence for adaptive mixed finite element methods

Guozhu Yu, Jun Hu

arxiv:1601.00132 v1 · 2016-01-02 · 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{3RWQT7DAMJ5UGIQWJCVYVUNHJK}

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	2026-05-18T01:23:28.362029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc6d09fc60627b43221648ab8ad1a74a8149cdd3c2eb11b7486f40dc61d009a5

Aliases

arxiv: 1601.00132 · arxiv_version: 1601.00132v1 · doi: 10.48550/arxiv.1601.00132 · pith_short_12: 3RWQT7DAMJ5U · pith_short_16: 3RWQT7DAMJ5UGIQW · pith_short_8: 3RWQT7DA

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/3RWQT7DAMJ5UGIQWJCVYVUNHJK \
  | 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: dc6d09fc60627b43221648ab8ad1a74a8149cdd3c2eb11b7486f40dc61d009a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c0a8a114fac498cfb128a70668081d38c0617c1c69a5880eae411664c453fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-01-02T03:11:11Z",
    "title_canon_sha256": "87927a34f59c9965cb71d6c04d7f5c1110fe38c9535ef43ad9df6da3652b38e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00132",
    "kind": "arxiv",
    "version": 1
  }
}