Pith Number

pith:YC4ANTDG

pith:2008:YC4ANTDG4BGKR7C4T6I6SYJQTR

not attested not anchored not stored refs pending

Local energy estimates for the finite element method on sharply varying grids

Alan Demlow, Alfred H. Schatz, Johnny Guzman

arxiv:0808.2160 v1 · 2008-08-15 · 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{YC4ANTDG4BGKR7C4T6I6SYJQTR}

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	2026-06-03T22:06:08.999243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0b806cc66e04ca8fc5c9f91e961309c7b6074b02e82319776b97da5b8c0b991

Aliases

arxiv: 0808.2160 · arxiv_version: 0808.2160v1 · doi: 10.48550/arxiv.0808.2160 · pith_short_12: YC4ANTDG4BGK · pith_short_16: YC4ANTDG4BGKR7C4 · pith_short_8: YC4ANTDG

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/YC4ANTDG4BGKR7C4T6I6SYJQTR \
  | 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: c0b806cc66e04ca8fc5c9f91e961309c7b6074b02e82319776b97da5b8c0b991

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c050d704283dd560be2d6617b822a6bc199e5101d51c89048665c973d0698a3",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-08-15T16:04:14Z",
    "title_canon_sha256": "4e994b0efa399f36521c003efaf18fe9d15d2f25005680aa4419b86c3a567912"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2160",
    "kind": "arxiv",
    "version": 1
  }
}