Pith Number

pith:X2MG5LAM

pith:2025:X2MG5LAMCPERKBVRHWBHJNSG4H

not attested not anchored not stored refs pending

The linearized translator equation and applications

Kyeongsu Choi, Or Hershkovits, Robert Haslhofer

arxiv:2509.06667 v1 · 2025-09-08 · 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{X2MG5LAMCPERKBVRHWBHJNSG4H}

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	2026-07-05T12:06:39.948774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be986eac0c13c91506b13d8274b646e1dfd3a3924460dfeeed05e854d5f7ffd1

Aliases

arxiv: 2509.06667 · arxiv_version: 2509.06667v1 · doi: 10.48550/arxiv.2509.06667 · pith_short_12: X2MG5LAMCPER · pith_short_16: X2MG5LAMCPERKBVR · pith_short_8: X2MG5LAM

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/X2MG5LAMCPERKBVRHWBHJNSG4H \
  | 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: be986eac0c13c91506b13d8274b646e1dfd3a3924460dfeeed05e854d5f7ffd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23003f96164817b7499163e2eb611ac8e1be77d554fb8959cd2060dd0383c30c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-09-08T13:26:42Z",
    "title_canon_sha256": "e47f96ed182dc5b069d587569aeeb42e21eda27be10f3833021e39bec85237bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06667",
    "kind": "arxiv",
    "version": 1
  }
}