Pith Number

pith:MJBMSW7R

pith:2010:MJBMSW7RI6XLHX3GH5XZB4BGNW

not attested not anchored not stored refs pending

Large Deviation Theory for a Homogenized and "Corrected" Elliptic ODE

Guillaume Bal, Ian Langmore, Roger Ghanem

arxiv:1012.0763 v2 · 2010-12-03 · 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{MJBMSW7RI6XLHX3GH5XZB4BGNW}

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	2026-05-18T04:34:08.518125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6242c95bf147aeb3df663f6f90f0266db2ccdf6ac7423ac64b2a337beeaece36

Aliases

arxiv: 1012.0763 · arxiv_version: 1012.0763v2 · doi: 10.48550/arxiv.1012.0763 · pith_short_12: MJBMSW7RI6XL · pith_short_16: MJBMSW7RI6XLHX3G · pith_short_8: MJBMSW7R

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/MJBMSW7RI6XLHX3GH5XZB4BGNW \
  | 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: 6242c95bf147aeb3df663f6f90f0266db2ccdf6ac7423ac64b2a337beeaece36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6095d065866b34cc0f1c104dcf6875f822837fd662d42acd21e3b2c42c826cd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-03T15:24:08Z",
    "title_canon_sha256": "8540b9d76d706c08396474312dd0e2529e7c8daff35b5ff1547a4786807b4324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0763",
    "kind": "arxiv",
    "version": 2
  }
}