Pith Number

pith:AKNXY23H

pith:2026:AKNXY23HSNAFA6YZ57D53KZ73E

not attested not anchored not stored refs pending

Optimal universal bounds for waves with varied coherence based on supremum and infimum coherence spectra

Cheng Guo, Shiyu Li

arxiv:2601.10665 v1 · 2026-01-15 · physics.optics · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AKNXY23HSNAFA6YZ57D53KZ73E}

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	2026-07-28T00:21:33.590202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

029b7c6b679340507b19efc7ddab3fd901ef25672659adb5777babb6d80dfadb

Aliases

arxiv: 2601.10665 · arxiv_version: 2601.10665v1 · doi: 10.48550/arxiv.2601.10665 · pith_short_12: AKNXY23HSNAF · pith_short_16: AKNXY23HSNAFA6YZ · pith_short_8: AKNXY23H

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/AKNXY23HSNAFA6YZ57D53KZ73E \
  | 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: 029b7c6b679340507b19efc7ddab3fd901ef25672659adb5777babb6d80dfadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4fede400c2efe1f95ad38a5617dd2ad3c273a946b556ecdf521708ae0d09385",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2026-01-15T18:32:59Z",
    "title_canon_sha256": "0167c451cc99e484c52b6e88fffc0a31de8d5908d8b7efb61bf323f575761390"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10665",
    "kind": "arxiv",
    "version": 1
  }
}