Pith Number

pith:6SYAEKY4

pith:2024:6SYAEKY452KPTWT5DB7RNPBSM3

not attested not anchored not stored refs pending

Reflectionless Dirac operators and canonical systems

Christian Remling, Jie Zeng

arxiv:2410.20218 v1 · 2024-10-26 · math.SP · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SYAEKY452KPTWT5DB7RNPBSM3}

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	2026-07-05T09:26:41.030232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4b0022b1cee94f9da7d187f16bc3266dbcb6ffc2f593601c64e1e3dbbe44d28

Aliases

arxiv: 2410.20218 · arxiv_version: 2410.20218v1 · doi: 10.48550/arxiv.2410.20218 · pith_short_12: 6SYAEKY452KP · pith_short_16: 6SYAEKY452KPTWT5 · pith_short_8: 6SYAEKY4

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/6SYAEKY452KPTWT5DB7RNPBSM3 \
  | 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: f4b0022b1cee94f9da7d187f16bc3266dbcb6ffc2f593601c64e1e3dbbe44d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a20d9beecce031679665984bd3bbc34822c9d6662e8f5707488ee39b1f6eb653",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-10-26T16:22:02Z",
    "title_canon_sha256": "4b023786650fa4477376aba30f93143a5f9f1664690d512c0f57c7dac100f64b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.20218",
    "kind": "arxiv",
    "version": 1
  }
}