Pith Number

pith:2DIMR3ML

pith:2011:2DIMR3MLFSNZKZD4OTNEBSDL67

not attested not anchored not stored refs pending

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

Joseph G. Conlon, Thomas Spencer

arxiv:1101.4914 v1 · 2011-01-25 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DIMR3MLFSNZKZD4OTNEBSDL67}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:30:58.708985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0d0c8ed8b2c9b95647c74da40c86bf7f216d8ec263e483d6aac77164509f39e

Aliases

arxiv: 1101.4914 · arxiv_version: 1101.4914v1 · doi: 10.48550/arxiv.1101.4914 · pith_short_12: 2DIMR3MLFSNZ · pith_short_16: 2DIMR3MLFSNZKZD4 · pith_short_8: 2DIMR3ML

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/2DIMR3MLFSNZKZD4OTNEBSDL67 \
  | 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: d0d0c8ed8b2c9b95647c74da40c86bf7f216d8ec263e483d6aac77164509f39e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7202d0a820fe0ad4bab071779f5bd3bc324fa4852386039bb268b1a3381f76d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-25T20:15:07Z",
    "title_canon_sha256": "1e36a0b7770a949a9a5c088504b77f98ce78e6f5e048531f9f1bbe4322f652b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4914",
    "kind": "arxiv",
    "version": 1
  }
}