Pith Number

pith:FQY7ZWTC

pith:2016:FQY7ZWTC4BIWLAHCMT34XUCHTU

not attested not anchored not stored refs pending

Canonical Duality Theory for Topology Optimization

David Yang Gao

arxiv:1612.05684 v2 · 2016-12-17 · cs.DM · 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{FQY7ZWTC4BIWLAHCMT34XUCHTU}

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	2026-05-18T00:41:20.881969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c31fcda62e0516580e264f7cbd0479d20a158032f5acb4743386a6fbdf69017

Aliases

arxiv: 1612.05684 · arxiv_version: 1612.05684v2 · doi: 10.48550/arxiv.1612.05684 · pith_short_12: FQY7ZWTC4BIW · pith_short_16: FQY7ZWTC4BIWLAHC · pith_short_8: FQY7ZWTC

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/FQY7ZWTC4BIWLAHCMT34XUCHTU \
  | 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: 2c31fcda62e0516580e264f7cbd0479d20a158032f5acb4743386a6fbdf69017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f9a7546b5af6e7939b74e2cc3d032550202f6061d03c1878c1de387377815d",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-12-17T00:17:20Z",
    "title_canon_sha256": "ec22a441e52ddc7adb363519e57e48a20ed0a0eed84f2d9b88c655641888809c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05684",
    "kind": "arxiv",
    "version": 2
  }
}