Pith Number

pith:5VXB2KSP

pith:2016:5VXB2KSPGO3ZVNJLUP6GUP23IM

not attested not anchored not stored refs pending

Ultra-Weak Time Operators of Schroedinger Operators

Asao Arai, Fumio Hiroshima

arxiv:1607.04702 v3 · 2016-07-16 · math-ph · 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{5VXB2KSPGO3ZVNJLUP6GUP23IM}

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	2026-05-18T00:20:07.508338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6e1d2a4f33b79ab52ba3fc6a3f5b433c8a46bbb9719f5c53e3bd7d4854fc74

Aliases

arxiv: 1607.04702 · arxiv_version: 1607.04702v3 · doi: 10.48550/arxiv.1607.04702 · pith_short_12: 5VXB2KSPGO3Z · pith_short_16: 5VXB2KSPGO3ZVNJL · pith_short_8: 5VXB2KSP

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/5VXB2KSPGO3ZVNJLUP6GUP23IM \
  | 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: ed6e1d2a4f33b79ab52ba3fc6a3f5b433c8a46bbb9719f5c53e3bd7d4854fc74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c7987323758a975f5cd8d199c694994c1c165806bc120935f58b1f181f4e6f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-07-16T03:07:02Z",
    "title_canon_sha256": "1c6b125ceef22920b2e4f4924b966244ccd2f7c44c3b716f9c460b5cb0ccf4d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04702",
    "kind": "arxiv",
    "version": 3
  }
}