Pith Number

pith:G7VDLM3D

pith:2009:G7VDLM3D6BBXXOMAIPUSPFZCFM

not attested not anchored not stored refs pending

Periodic homogenization with an interface: The multi-dimensional case

Charles Manson, Martin Hairer

arxiv:0909.2606 v3 · 2009-09-14 · 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{G7VDLM3D6BBXXOMAIPUSPFZCFM}

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	2026-05-18T04:24:04.159950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37ea35b363f0437bb98043e92797222b27db5f3625a8080bf5efe2f86fff8727

Aliases

arxiv: 0909.2606 · arxiv_version: 0909.2606v3 · doi: 10.48550/arxiv.0909.2606 · pith_short_12: G7VDLM3D6BBX · pith_short_16: G7VDLM3D6BBXXOMA · pith_short_8: G7VDLM3D

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/G7VDLM3D6BBXXOMAIPUSPFZCFM \
  | 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: 37ea35b363f0437bb98043e92797222b27db5f3625a8080bf5efe2f86fff8727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "674ab3ec934100aed04afd8a5ddc51656ba9cc1fecdbdfca4de0b088e3401759",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-14T17:39:50Z",
    "title_canon_sha256": "f14addc1c1960d89a6716c15bf647e6b0c8e063ac3827f0df0f1be1f5652c9f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2606",
    "kind": "arxiv",
    "version": 3
  }
}