Pith Number

pith:MUBTJW6Z

pith:2011:MUBTJW6ZX4E52CUEZXILQTIWQT

not attested not anchored not stored refs pending

Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations

Francisco-Javier Sayas

arxiv:1109.6826 v1 · 2011-09-30 · 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{MUBTJW6ZX4E52CUEZXILQTIWQT}

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	2026-05-18T04:11:52.468545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650334dbd9bf09dd0a84cdd0b84d1684d74d4a0f71b513e5179fe46a70616cc8

Aliases

arxiv: 1109.6826 · arxiv_version: 1109.6826v1 · doi: 10.48550/arxiv.1109.6826 · pith_short_12: MUBTJW6ZX4E5 · pith_short_16: MUBTJW6ZX4E52CUE · pith_short_8: MUBTJW6Z

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/MUBTJW6ZX4E52CUEZXILQTIWQT \
  | 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: 650334dbd9bf09dd0a84cdd0b84d1684d74d4a0f71b513e5179fe46a70616cc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5243e22a3f8694ed7e3e9c3074acfda576f23b2654a650ada5fc6628c9325a06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-30T14:10:28Z",
    "title_canon_sha256": "722ea4efc31756430fe8363276333f6e62f57d9464e20147f383ec587fbd02ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6826",
    "kind": "arxiv",
    "version": 1
  }
}