Pith Number

pith:2APC2SP6

pith:2012:2APC2SP65I4B42B747U24MR4UU

not attested not anchored not stored refs pending

The lower bound of the error estimate in the L2 norm for the Adini element of the biharmonic equation

Jun Hu, Zhongci Shi

arxiv:1211.4677 v2 · 2012-11-20 · 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{2APC2SP65I4B42B747U24MR4UU}

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	2026-05-18T03:17:24.733670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d01e2d49feea381e683fe7e9ae323ca5357121c6266a3e41f6b0a273991939d1

Aliases

arxiv: 1211.4677 · arxiv_version: 1211.4677v2 · doi: 10.48550/arxiv.1211.4677 · pith_short_12: 2APC2SP65I4B · pith_short_16: 2APC2SP65I4B42B7 · pith_short_8: 2APC2SP6

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/2APC2SP65I4B42B747U24MR4UU \
  | 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: d01e2d49feea381e683fe7e9ae323ca5357121c6266a3e41f6b0a273991939d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7376942ac3141554ad2db2073aef7cbfce6fc46314c938e0b29eb15c082f5bb4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-20T07:45:16Z",
    "title_canon_sha256": "6da96d00e071208c60c90d23da0c5912ecf83d79e1fa03f66a177eb019aca93d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4677",
    "kind": "arxiv",
    "version": 2
  }
}