Pith Number

pith:JUTB3BUI

pith:2026:JUTB3BUI4KDYBIZ62CGQW3DH32

not attested not anchored not stored refs pending

Propagation Maps, Maradona Exceptional Points, and Pele Singularities in Anisotropic, Tellegen, Chiral, Moving-Medium, Omega and Other Isotropy-Broken Materials

Maxim Durach

arxiv:2605.22839 v1 · 2026-05-11 · physics.optics · cond-mat.mtrl-sci

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JUTB3BUI4KDYBIZ62CGQW3DH32}

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	2026-05-25T00:00:58.659975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d261d8688e28780a33ed08d0b6c67dea3b37d5921c34f6f1af8ccd62d121283

Aliases

arxiv: 2605.22839 · arxiv_version: 2605.22839v1 · doi: 10.48550/arxiv.2605.22839 · pith_short_12: JUTB3BUI4KDY · pith_short_16: JUTB3BUI4KDYBIZ6 · pith_short_8: JUTB3BUI

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/JUTB3BUI4KDYBIZ62CGQW3DH32 \
  | 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: 4d261d8688e28780a33ed08d0b6c67dea3b37d5921c34f6f1af8ccd62d121283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18c73cf7abe97acfa5b69ae36a2423ae9172e99b442014c68f290d1386473b95",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-05-11T00:34:52Z",
    "title_canon_sha256": "b8fb03ac5b27922d332b1de3ed36b8fe364d4df878ff91ddcb64884457757839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22839",
    "kind": "arxiv",
    "version": 1
  }
}