Pith Number

pith:ULGKJEAM

pith:2026:ULGKJEAMCJNKJYN7AF7INJERD7

not attested not anchored not stored refs pending

Caustics and Superenergy in the Quantum Bouncer

Andrew N. Jordan, Marko. M. \'Cosi\'c

arxiv:2608.02427 v1 · 2026-08-03 · quant-ph · math-ph · math.MP · nlin.PS · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULGKJEAMCJNKJYN7AF7INJERD7}

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	2026-08-04T02:43:28.388798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2cca4900c125aa4e1bf017e86a4911fc370c652fe196b7fb19c4dcc549534de

Aliases

arxiv: 2608.02427 · arxiv_version: 2608.02427v1 · doi: 10.48550/arxiv.2608.02427 · pith_short_12: ULGKJEAMCJNK · pith_short_16: ULGKJEAMCJNKJYN7 · pith_short_8: ULGKJEAM

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/ULGKJEAMCJNKJYN7AF7INJERD7 \
  | 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: a2cca4900c125aa4e1bf017e86a4911fc370c652fe196b7fb19c4dcc549534de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b7fcaecd91f87a2db1ac297a0058212167dad1c9d8be523556cf96deb4e25f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-03T16:07:42Z",
    "title_canon_sha256": "f0ec6ca7059367836d71de390337209f11402970afbc42b171955ed12379afa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02427",
    "kind": "arxiv",
    "version": 1
  }
}