Pith Number

pith:TNVJSJSD

pith:2011:TNVJSJSDUE5NXAJABJ2A5U6FR4

not attested not anchored not stored refs pending

Two-scale convergence for locally-periodic microstructures and homogenization of plywood structures

Mariya Ptashnyk

arxiv:1105.0349 v3 · 2011-05-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TNVJSJSDUE5NXAJABJ2A5U6FR4}

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	2026-05-18T03:45:23.326271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6a992643a13adb81200a740ed3c58f3c44ae89c8771a56149cd8c2bc6cbe3a

Aliases

arxiv: 1105.0349 · arxiv_version: 1105.0349v3 · doi: 10.48550/arxiv.1105.0349 · pith_short_12: TNVJSJSDUE5N · pith_short_16: TNVJSJSDUE5NXAJA · pith_short_8: TNVJSJSD

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/TNVJSJSDUE5NXAJABJ2A5U6FR4 \
  | 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: 9b6a992643a13adb81200a740ed3c58f3c44ae89c8771a56149cd8c2bc6cbe3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "625f2ce67e4bcb4ea465b8b06df4c5001e5247a65824225e803a363a8f45d542",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-02T15:02:08Z",
    "title_canon_sha256": "002fb5255d4a0be309d7140585c86bbd04db5c5ab2daab522a1d7402095fee66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0349",
    "kind": "arxiv",
    "version": 3
  }
}