Pith Number

pith:VHURYCLH

pith:2012:VHURYCLHTN4EIQ3PDELPYBBZRW

not attested not anchored not stored refs pending

Strong Convergence to the homogenized limit of elliptic equations with random coefficients II

Arash Fahim, Joseph G. Conlon

arxiv:1207.6077 v1 · 2012-07-25 · 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{VHURYCLHTN4EIQ3PDELPYBBZRW}

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	2026-05-18T02:57:53.360743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e91c09679b7844436f1916fc04398d85933a99cc6faaf3dc12704df3728fc9

Aliases

arxiv: 1207.6077 · arxiv_version: 1207.6077v1 · doi: 10.48550/arxiv.1207.6077 · pith_short_12: VHURYCLHTN4E · pith_short_16: VHURYCLHTN4EIQ3P · pith_short_8: VHURYCLH

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/VHURYCLHTN4EIQ3PDELPYBBZRW \
  | 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: a9e91c09679b7844436f1916fc04398d85933a99cc6faaf3dc12704df3728fc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b3872a63e281193c4eee2deb52e2e4dea62d906455adcc5c7c7423ab1b92b1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-25T18:18:41Z",
    "title_canon_sha256": "b8958b5971e147a6bc4aea89964201f1ac93b367361b0f3a2ab8e1bc1da4b91c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6077",
    "kind": "arxiv",
    "version": 1
  }
}