Pith Number

pith:4DFYAAO7

pith:2015:4DFYAAO7WVW6W7L3C5STSB73QC

not attested not anchored not stored refs pending

Distributed shape derivative via averaged adjoint method and applications

Antoine Laurain, Kevin Sturm

arxiv:1509.01816 v3 · 2015-09-06 · 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{4DFYAAO7WVW6W7L3C5STSB73QC}

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	2026-05-18T01:25:46.673857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0cb8001dfb56deb7d7b17653907fb8089955a41fe3134a4fb453b3721d82416

Aliases

arxiv: 1509.01816 · arxiv_version: 1509.01816v3 · doi: 10.48550/arxiv.1509.01816 · pith_short_12: 4DFYAAO7WVW6 · pith_short_16: 4DFYAAO7WVW6W7L3 · pith_short_8: 4DFYAAO7

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/4DFYAAO7WVW6W7L3C5STSB73QC \
  | 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: e0cb8001dfb56deb7d7b17653907fb8089955a41fe3134a4fb453b3721d82416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3b3eb4dde08fc97f3b02ca30e05f27778a7765738e3ff0863fef272ba8f4039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-06T14:31:54Z",
    "title_canon_sha256": "793fb6801c0cbf84809d816a67e42809038c02541bdb5b64d68c82a78db0afba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01816",
    "kind": "arxiv",
    "version": 3
  }
}