Pith Number

pith:SOF72R2S

pith:2024:SOF72R2SC7KM7WLZ7B5JE6DLV5

not attested not anchored not stored refs pending

On Unitary Monodromy of Second-Order Ordinary Differential Equations

Alex Zitzewitz, David Darrow, Eric Chen

arxiv:2412.07932 v3 · 2024-12-10 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOF72R2SC7KM7WLZ7B5JE6DLV5}

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	2026-05-27T01:04:47.543855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938bfd475217d4cfd979f87a92786baf4df22be3a35107a9b964d7d6f086aa55

Aliases

arxiv: 2412.07932 · arxiv_version: 2412.07932v3 · doi: 10.48550/arxiv.2412.07932 · pith_short_12: SOF72R2SC7KM · pith_short_16: SOF72R2SC7KM7WLZ · pith_short_8: SOF72R2S

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/SOF72R2SC7KM7WLZ7B5JE6DLV5 \
  | 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: 938bfd475217d4cfd979f87a92786baf4df22be3a35107a9b964d7d6f086aa55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5d39649317d691e1a03fb1369ccad72aa21eedaa64badc9bc2c44aafa9ee9ef",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-12-10T21:28:05Z",
    "title_canon_sha256": "12bc9984769e48e0f78dddb14fb36857a5f932fe62f0fc2824805f8a6ae2073b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07932",
    "kind": "arxiv",
    "version": 3
  }
}