Pith Number

pith:5YZMGPB4

pith:2012:5YZMGPB4M4R5BQVL6O5IOVRSAR

not attested not anchored not stored refs pending

A posteriori error estimates for finite element exterior calculus: The de Rham complex

Alan Demlow, Anil N. Hirani

arxiv:1203.0803 v3 · 2012-03-05 · 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{5YZMGPB4M4R5BQVL6O5IOVRSAR}

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	2026-05-18T03:38:14.263822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee32c33c3c6723d0c2abf3ba875632044117cb8c543c85c8fe68be197573ed97

Aliases

arxiv: 1203.0803 · arxiv_version: 1203.0803v3 · doi: 10.48550/arxiv.1203.0803 · pith_short_12: 5YZMGPB4M4R5 · pith_short_16: 5YZMGPB4M4R5BQVL · pith_short_8: 5YZMGPB4

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/5YZMGPB4M4R5BQVL6O5IOVRSAR \
  | 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: ee32c33c3c6723d0c2abf3ba875632044117cb8c543c85c8fe68be197573ed97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d14f9b958c38a02921645e1753e72194aff858a627daacdc3234514619d04a4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-03-05T02:20:05Z",
    "title_canon_sha256": "53066bfb8dab91c7d44cd43573b2b7bf8662e90c50a2358473efce033a440f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0803",
    "kind": "arxiv",
    "version": 3
  }
}