Pith Number

pith:TZ7RM7OV

pith:2015:TZ7RM7OVCRT3WRSU56STPTOCVG

not attested not anchored not stored refs pending

Functional A Posteriori Error Control for Conforming Mixed Approximations of Coercive Problems with Lower Order Terms

Dirk Pauly, Immanuel Anjam

arxiv:1512.08462 v1 · 2015-12-28 · math.AP · 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{TZ7RM7OVCRT3WRSU56STPTOCVG}

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	2026-05-18T01:23:40.647507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e7f167dd51467bb4654efa537cdc2a99f075b7e4b98a93352f4166b8455cee4

Aliases

arxiv: 1512.08462 · arxiv_version: 1512.08462v1 · doi: 10.48550/arxiv.1512.08462 · pith_short_12: TZ7RM7OVCRT3 · pith_short_16: TZ7RM7OVCRT3WRSU · pith_short_8: TZ7RM7OV

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/TZ7RM7OVCRT3WRSU56STPTOCVG \
  | 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: 9e7f167dd51467bb4654efa537cdc2a99f075b7e4b98a93352f4166b8455cee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12493f21de0d1c845349439f6608cbed0e572513f55dbe52f63f157d2b61d873",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-28T17:14:43Z",
    "title_canon_sha256": "7617dc74607501ba2cb6d0d940ddb17ad476169f0fc0231381cfe111072d7513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08462",
    "kind": "arxiv",
    "version": 1
  }
}