Pith Number

pith:7SQ7OG7T

pith:2009:7SQ7OG7TD6HGFB5EBBTBIDVEJI

not attested not anchored not stored refs pending

Local Multigrid in H(curl)

Ralf Hiptmair, Weiying Zheng

arxiv:0901.0764 v1 · 2009-01-07 · math.NA · cs.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{7SQ7OG7TD6HGFB5EBBTBIDVEJI}

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	2026-06-03T23:06:10.233983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fca1f71bf31f8e6287a40866140ea44a309b6e1acc6213cd59b8758d1642f883

Aliases

arxiv: 0901.0764 · arxiv_version: 0901.0764v1 · doi: 10.48550/arxiv.0901.0764 · pith_short_12: 7SQ7OG7TD6HG · pith_short_16: 7SQ7OG7TD6HGFB5E · pith_short_8: 7SQ7OG7T

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/7SQ7OG7TD6HGFB5EBBTBIDVEJI \
  | 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: fca1f71bf31f8e6287a40866140ea44a309b6e1acc6213cd59b8758d1642f883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bafecbcd4f2ad854418dc1992ef3c0374ccd27261c807f94758d3fb4cfa90225",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-01-07T07:10:46Z",
    "title_canon_sha256": "673d71082da1d8e27558a1e6b21132413d6f202b8a99a534610b2ccd5705e67e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0764",
    "kind": "arxiv",
    "version": 1
  }
}