Pith Number

pith:2XLBJAIE

pith:2010:2XLBJAIE257DUESA3NUHWHJU6Z

not attested not anchored not stored refs pending

From Whitney Forms to Metamaterials: a Rigorous Homogenization Theory

Igor Tsukerman

arxiv:1010.3632 v1 · 2010-10-18 · physics.optics · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XLBJAIE257DUESA3NUHWHJU6Z}

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	2026-05-18T04:39:08.691807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5d6148104d77e3a1240db687b1d34f65da43bc098c7c8ec6131fd557f268d3e

Aliases

arxiv: 1010.3632 · arxiv_version: 1010.3632v1 · doi: 10.48550/arxiv.1010.3632 · pith_short_12: 2XLBJAIE257D · pith_short_16: 2XLBJAIE257DUESA · pith_short_8: 2XLBJAIE

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/2XLBJAIE257DUESA3NUHWHJU6Z \
  | 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: d5d6148104d77e3a1240db687b1d34f65da43bc098c7c8ec6131fd557f268d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6df939675bc8deec11d61cbafca17ffd5fd0a2835a0d87d49cc09f082dfbe06",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2010-10-18T15:40:42Z",
    "title_canon_sha256": "3828af3b8a84ff16b95016666666e8d84712d76dca51852be0d67177e80824c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3632",
    "kind": "arxiv",
    "version": 1
  }
}