Pith Number

pith:I6PPXTWI

pith:2015:I6PPXTWI2WP6WOVPBM5LVF2STR

not attested not anchored not stored refs pending

A variational method for second order shape derivatives

Guy Bouchitt\'e, Ilaria Fragal\`a, Ilaria Lucardesi

arxiv:1509.00178 v1 · 2015-09-01 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I6PPXTWI2WP6WOVPBM5LVF2STR}

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	2026-05-18T00:08:58.138510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479efbcec8d59feb3aaf0b3aba97529c4f89f4f269ed0f34354e23b92f9e4a15

Aliases

arxiv: 1509.00178 · arxiv_version: 1509.00178v1 · doi: 10.48550/arxiv.1509.00178 · pith_short_12: I6PPXTWI2WP6 · pith_short_16: I6PPXTWI2WP6WOVP · pith_short_8: I6PPXTWI

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/I6PPXTWI2WP6WOVPBM5LVF2STR \
  | 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: 479efbcec8d59feb3aaf0b3aba97529c4f89f4f269ed0f34354e23b92f9e4a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70ed2e9dc332a07ae15d25a1df7c874ea03ba05d5977c7242531bd5bbf1d29c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-01T08:52:40Z",
    "title_canon_sha256": "0bbfb75958db77de309fd7c313e649e66d081abd01a122bea1d2d0711db01c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00178",
    "kind": "arxiv",
    "version": 1
  }
}