Pith Number

pith:QCDTOQLO

pith:2018:QCDTOQLOTRSX7KY6YRNRDPYYN4

not attested not anchored not stored refs pending

Geometry of the Madelung transform

Boris Khesin, Gerard Misiolek, Klas Modin

arxiv:1807.07172 v2 · 2018-07-18 · math.DG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCDTOQLOTRSX7KY6YRNRDPYYN4}

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	2026-07-05T05:15:21.091581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

808737416e9c657fab1ec45b11bf186f11f4d23093e72da1499bbae17f665c5c

Aliases

arxiv: 1807.07172 · arxiv_version: 1807.07172v2 · doi: 10.48550/arxiv.1807.07172 · pith_short_12: QCDTOQLOTRSX · pith_short_16: QCDTOQLOTRSX7KY6 · pith_short_8: QCDTOQLO

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/QCDTOQLOTRSX7KY6YRNRDPYYN4 \
  | 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: 808737416e9c657fab1ec45b11bf186f11f4d23093e72da1499bbae17f665c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb37ca68a8e7b61e8534f83a01a98cbc0dbb8f64030b81b3c303fdc98efcd9f0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-18T22:17:59Z",
    "title_canon_sha256": "e896aedca63ff2f62d56aa16d43a1e9fe7b95862e5090874ddeada69429e8820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07172",
    "kind": "arxiv",
    "version": 2
  }
}