Pith Number

pith:M5WADHSG

pith:2024:M5WADHSGVHZYV7QR5JRPBNW43Q

not attested not anchored not stored refs pending

Reflectionless operators and automorphic Herglotz functions

Christian Remling

arxiv:2412.10992 v1 · 2024-12-14 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5WADHSGVHZYV7QR5JRPBNW43Q}

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	2026-07-05T09:49:25.639423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676c019e46a9f38afe11ea62f0b6dcdc12264614a3f111782aaf709ed5238893

Aliases

arxiv: 2412.10992 · arxiv_version: 2412.10992v1 · doi: 10.48550/arxiv.2412.10992 · pith_short_12: M5WADHSGVHZY · pith_short_16: M5WADHSGVHZYV7QR · pith_short_8: M5WADHSG

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/M5WADHSGVHZYV7QR5JRPBNW43Q \
  | 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: 676c019e46a9f38afe11ea62f0b6dcdc12264614a3f111782aaf709ed5238893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef74e25b5c73b8285a98d1824457f75d6511899f41c79c37d4cd225ba76d0b13",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-12-14T23:12:09Z",
    "title_canon_sha256": "2ececf5662b735b711daedd3d0ce4fb450b951ae9dff8c4ff45a47889c878681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.10992",
    "kind": "arxiv",
    "version": 1
  }
}