Pith Number

pith:CZB5JNOB

pith:2025:CZB5JNOBPBQJRTUAEYMLFVX5TB

not attested not anchored not stored refs pending

Linear and nonlinear stability for the Bach flow, I

Christine Guenther, Eric Bahuaud, James Isenberg, Rafe Mazzeo

arxiv:2508.06633 v1 · 2025-08-08 · math.DG · 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{CZB5JNOBPBQJRTUAEYMLFVX5TB}

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	2026-07-05T11:51:03.962163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1643d4b5c1786098ce802618b2d6fd9853921027238cfa73a0de0be0c286b01e

Aliases

arxiv: 2508.06633 · arxiv_version: 2508.06633v1 · doi: 10.48550/arxiv.2508.06633 · pith_short_12: CZB5JNOBPBQJ · pith_short_16: CZB5JNOBPBQJRTUA · pith_short_8: CZB5JNOB

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/CZB5JNOBPBQJRTUAEYMLFVX5TB \
  | 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: 1643d4b5c1786098ce802618b2d6fd9853921027238cfa73a0de0be0c286b01e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c63858a7add3401c058bf602af203088175390c01164d628cd405a41ac2aea6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-08T18:30:23Z",
    "title_canon_sha256": "db22491a4002bac6c18f5566c90724b3b7f8e4095f78a122ef4fc21cdbb52a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.06633",
    "kind": "arxiv",
    "version": 1
  }
}