Pith Number

pith:OJMMHNQJ

pith:2022:OJMMHNQJO6Y66HKD3AVBK4JYPZ

not attested not anchored not stored refs pending

The Toda flow as a porous medium equation

Boris Khesin, Klas Modin

arxiv:2207.10214 v3 · 2022-07-20 · math.DS · math.DG · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OJMMHNQJO6Y66HKD3AVBK4JYPZ}

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	2026-07-05T11:51:59.103874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7258c3b60977b1ef1d43d82a1571387e625a6b7ea9d490cadd59edfe29ee91e1

Aliases

arxiv: 2207.10214 · arxiv_version: 2207.10214v3 · doi: 10.48550/arxiv.2207.10214 · pith_short_12: OJMMHNQJO6Y6 · pith_short_16: OJMMHNQJO6Y66HKD · pith_short_8: OJMMHNQJ

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/OJMMHNQJO6Y66HKD3AVBK4JYPZ \
  | 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: 7258c3b60977b1ef1d43d82a1571387e625a6b7ea9d490cadd59edfe29ee91e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3ef824d56eb7a1f8244b861a5f015ebd5b86debd64503c8e0350da35f006362",
    "cross_cats_sorted": [
      "math.DG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-07-20T22:15:54Z",
    "title_canon_sha256": "7a4e81cc1de94817834390940c910f75b1cd8d4ee5c676c92dfeb62ce468d6b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.10214",
    "kind": "arxiv",
    "version": 3
  }
}