Pith Number

pith:E5O34K3W

pith:2013:E5O34K3WASPDGWJLQATG745TGU

not attested not anchored not stored refs pending

Homogenization in fractional elasticity

Marcus Waurick

arxiv:1302.1731 v3 · 2013-02-07 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5O34K3WASPDGWJLQATG745TGU}

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	2026-05-18T03:13:00.049180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275dbe2b76049e33592b80266ff3b3350c5affc5fbb69b3e9ffa739c03fc371f

Aliases

arxiv: 1302.1731 · arxiv_version: 1302.1731v3 · doi: 10.48550/arxiv.1302.1731 · pith_short_12: E5O34K3WASPD · pith_short_16: E5O34K3WASPDGWJL · pith_short_8: E5O34K3W

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/E5O34K3WASPDGWJLQATG745TGU \
  | 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: 275dbe2b76049e33592b80266ff3b3350c5affc5fbb69b3e9ffa739c03fc371f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d939ea127560f3d80b2ea8af390102f13a6a1d5fa001d0e7c51e666d7ce30cc9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-02-07T12:42:19Z",
    "title_canon_sha256": "b231ebc68b72dc1ef108002236ace36c4a94349e5b84bc7470c5295c8792cccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1731",
    "kind": "arxiv",
    "version": 3
  }
}