Pith Number

pith:JJM7S3CB

pith:2026:JJM7S3CBOUNN5XBZZPGITBIDM3

not attested not anchored not stored refs pending

The Hidden Geometry of Astrophysical Spectra: Path-Signatures of Line Profiles

Rafael S. de Souza, Severin Bunk

arxiv:2606.27432 v1 · 2026-06-25 · astro-ph.IM · math.DG · stat.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{JJM7S3CBOUNN5XBZZPGITBIDM3}

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	2026-06-29T00:14:05.925833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a59f96c41751adedc39cbcc89850366d6758b096f612b71834cc1c1f488e4ac

Aliases

arxiv: 2606.27432 · arxiv_version: 2606.27432v1 · doi: 10.48550/arxiv.2606.27432 · pith_short_12: JJM7S3CBOUNN · pith_short_16: JJM7S3CBOUNN5XBZ · pith_short_8: JJM7S3CB

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/JJM7S3CBOUNN5XBZZPGITBIDM3 \
  | 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: 4a59f96c41751adedc39cbcc89850366d6758b096f612b71834cc1c1f488e4ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad327a3a8d77f59b9207cf7bbe8c191b149da101d1a0222fc1ec7f9348f1c379",
    "cross_cats_sorted": [
      "math.DG",
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-06-25T18:00:10Z",
    "title_canon_sha256": "f8c6b2192eca81482414078a29327bb397b06be3ff7b473d661699b896462898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27432",
    "kind": "arxiv",
    "version": 1
  }
}