Pith Number

pith:X43W5CUI

pith:2000:X43W5CUIXWE4CRXFQ6LVQBI7QB

not attested not anchored not stored refs pending

Invariant measures for Burgers equation with stochastic forcing

A. E. Mazel, K. M. Khanin, Weinan E, Ya. G. Sinai

arxiv:math/0005306 v1 · 2000-05-01 · 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{X43W5CUIXWE4CRXFQ6LVQBI7QB}

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	2026-05-18T01:05:38.542480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf376e8a88bd89c146e5879758051f8043995ee974800707fc6c7d4e4033f25b

Aliases

arxiv: math/0005306 · arxiv_version: math/0005306v1 · doi: 10.48550/arxiv.math/0005306 · pith_short_12: X43W5CUIXWE4 · pith_short_16: X43W5CUIXWE4CRXF · pith_short_8: X43W5CUI

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/X43W5CUIXWE4CRXFQ6LVQBI7QB \
  | 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: bf376e8a88bd89c146e5879758051f8043995ee974800707fc6c7d4e4033f25b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658b56b6804ecfe4e7c676991415cb721d4aba143ed2957175e2b4bf56de7cbb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2000-05-01T00:00:00Z",
    "title_canon_sha256": "099085b407462dc74686d42390c981db5ee241c2fb61062e5dc0a813af8fad58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005306",
    "kind": "arxiv",
    "version": 1
  }
}