Pith Number

pith:NHWPMXJE

pith:2013:NHWPMXJEL2VBL57MASC7EQL37C

not attested not anchored not stored refs pending

Gaussian estimates for Schroedinger perturbations

Karol Szczypkowski, Krzysztof Bogdan

arxiv:1301.4627 v3 · 2013-01-20 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHWPMXJEL2VBL57MASC7EQL37C}

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	2026-05-18T02:55:36.508219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ecf65d245eaa15f7ec0485f2417bf89f9add93c2469dd519e342c91241b2d9

Aliases

arxiv: 1301.4627 · arxiv_version: 1301.4627v3 · doi: 10.48550/arxiv.1301.4627 · pith_short_12: NHWPMXJEL2VB · pith_short_16: NHWPMXJEL2VBL57M · pith_short_8: NHWPMXJE

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/NHWPMXJEL2VBL57MASC7EQL37C \
  | 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: 69ecf65d245eaa15f7ec0485f2417bf89f9add93c2469dd519e342c91241b2d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db29f40e4ba3039413a8bde0161250f1d2398c86b53eb9a419cf5f9ce14aeeb3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-20T05:09:00Z",
    "title_canon_sha256": "7a28278fc07435211ffba165a27af1429d1c8767b0d932aec349507406c5c18d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4627",
    "kind": "arxiv",
    "version": 3
  }
}