Pith Number

pith:X62B5AR3

pith:2014:X62B5AR3XDB4N2S2IZ3BMKXY25

not attested not anchored not stored refs pending

Variational Methods for Optimal Multimaterial Composites and Optimal Design

Andrej Cherkaev

arxiv:1403.1602 v1 · 2014-03-06 · 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{X62B5AR3XDB4N2S2IZ3BMKXY25}

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	2026-05-18T02:56:52.995016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb41e823bb8c3c6ea5a4676162af8d772c060d1d70a49ce988e1779d8673924

Aliases

arxiv: 1403.1602 · arxiv_version: 1403.1602v1 · doi: 10.48550/arxiv.1403.1602 · pith_short_12: X62B5AR3XDB4 · pith_short_16: X62B5AR3XDB4N2S2 · pith_short_8: X62B5AR3

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/X62B5AR3XDB4N2S2IZ3BMKXY25 \
  | 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: bfb41e823bb8c3c6ea5a4676162af8d772c060d1d70a49ce988e1779d8673924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0502e92d84ea9b62ca8ab2302f9de271981e0eb535c390cd676c236c28427b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-03-06T21:58:50Z",
    "title_canon_sha256": "4cab0b4910bf1696d585ed88aff5b61567c46a2e69df79bf0f8354add1494e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1602",
    "kind": "arxiv",
    "version": 1
  }
}