Pith Number

pith:GN3DSMYM

pith:2012:GN3DSMYMFA4XTABDXNOZEIFGU5

not attested not anchored not stored refs pending

An optimal error estimate in stochastic homogenization of discrete elliptic equations

Antoine Gloria, Felix Otto

arxiv:1203.0908 v1 · 2012-03-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GN3DSMYMFA4XTABDXNOZEIFGU5}

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	2026-05-18T04:00:50.136856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

337639330c2839798023bb5d9220a6a761c52f84d10963497f21d05a18786318

Aliases

arxiv: 1203.0908 · arxiv_version: 1203.0908v1 · doi: 10.48550/arxiv.1203.0908 · pith_short_12: GN3DSMYMFA4X · pith_short_16: GN3DSMYMFA4XTABD · pith_short_8: GN3DSMYM

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/GN3DSMYMFA4XTABDXNOZEIFGU5 \
  | 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: 337639330c2839798023bb5d9220a6a761c52f84d10963497f21d05a18786318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5154fdf72ead4ca9089f4470fe520ae12ecb2660553cbb86a2df5144b2ac6596",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-05T13:33:56Z",
    "title_canon_sha256": "b7b09c098c102509eb15b3c77781129aa047cfdefc3a07b12c60322f9e1e3bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0908",
    "kind": "arxiv",
    "version": 1
  }
}