Pith Number

pith:JTUJAOCO

pith:2025:JTUJAOCOBVRPWWS45OVPT7HLFW

not attested not anchored not stored refs pending

Higher-order exceptional points unveiled by nilpotence and mathematical induction

Adam Mock, Akihiko Shinya, Kenta Takata, Masaya Notomi

arxiv:2510.00623 v2 · 2025-10-01 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTUJAOCOBVRPWWS45OVPT7HLFW}

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	2026-05-20T01:04:58.877124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ce890384e0d62fb5a5cebaaf9fceb2dbca5acc80dcfcb70cf64809dfecb984f

Aliases

arxiv: 2510.00623 · arxiv_version: 2510.00623v2 · doi: 10.48550/arxiv.2510.00623 · pith_short_12: JTUJAOCOBVRP · pith_short_16: JTUJAOCOBVRPWWS4 · pith_short_8: JTUJAOCO

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/JTUJAOCOBVRPWWS45OVPT7HLFW \
  | 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: 4ce890384e0d62fb5a5cebaaf9fceb2dbca5acc80dcfcb70cf64809dfecb984f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b56ab0db630cf8dd3ca19376acdee36aa2f3ef13503ed99330bcf2dcf9481a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-10-01T07:56:43Z",
    "title_canon_sha256": "a7a5ffcf7a4a9eae0511846f26462ad282f1a09143f49b8334d26b0c244570e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.00623",
    "kind": "arxiv",
    "version": 2
  }
}