Pith Number

pith:NGPIWO5A

pith:2010:NGPIWO5AS5WQAX2SHDQTA2MI7K

not attested not anchored not stored refs pending

Homogenization of the G-equation with incompressible random drift in two dimensions

Alexei Novikov, James Nolen

arxiv:1011.0016 v1 · 2010-10-29 · 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{NGPIWO5AS5WQAX2SHDQTA2MI7K}

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	2026-05-18T04:37:30.746626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

699e8b3ba0976d005f5238e1306988faab47c86f8fd1780afd065038d7b33698

Aliases

arxiv: 1011.0016 · arxiv_version: 1011.0016v1 · doi: 10.48550/arxiv.1011.0016 · pith_short_12: NGPIWO5AS5WQ · pith_short_16: NGPIWO5AS5WQAX2S · pith_short_8: NGPIWO5A

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/NGPIWO5AS5WQAX2SHDQTA2MI7K \
  | 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: 699e8b3ba0976d005f5238e1306988faab47c86f8fd1780afd065038d7b33698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903c445cb646d3a9c6c744d362442586692317979f0f909b4ce7b0bb6ad7de9f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-29T20:58:30Z",
    "title_canon_sha256": "22abbcbbd822f53ae4d54679e7d8fb44319ceb1ce6273db4473f184abadea084"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0016",
    "kind": "arxiv",
    "version": 1
  }
}