Pith Number

pith:TRNQ2HYW

pith:2009:TRNQ2HYWITSGKDK2CBCKYLZ6S6

not attested not anchored not stored refs pending

Homogenization of a singular random one dimensional parabolic PDE with time varying coefficients

A. Piatnitski, E. Pardoux

arxiv:0912.5277 v1 · 2009-12-29 · math.AP · 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{TRNQ2HYWITSGKDK2CBCKYLZ6S6}

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	2026-05-18T03:25:44.176463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5b0d1f1644e4650d5a1044ac2f3e97a272990df2e375250dba3872061da0b6

Aliases

arxiv: 0912.5277 · arxiv_version: 0912.5277v1 · doi: 10.48550/arxiv.0912.5277 · pith_short_12: TRNQ2HYWITSG · pith_short_16: TRNQ2HYWITSGKDK2 · pith_short_8: TRNQ2HYW

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/TRNQ2HYWITSGKDK2CBCKYLZ6S6 \
  | 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: 9c5b0d1f1644e4650d5a1044ac2f3e97a272990df2e375250dba3872061da0b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d796708f44a6a148d7e590389bbfe3689c55fc9ec95a0b11333b0cc524054a8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-12-29T09:13:53Z",
    "title_canon_sha256": "196f13bda34af1bbc809cc6ace7e575f0480ad8b4ffed126a62ade5e22d1f614"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.5277",
    "kind": "arxiv",
    "version": 1
  }
}