Pith Number

pith:6SGIDMH7

pith:2011:6SGIDMH765R6OQHNG2IBKCGKNA

not attested not anchored not stored refs pending

On space-time estimates for the Schroedinger operator

Andreas Seeger, Keith M. Rogers, Sanghyuk Lee

arxiv:1108.1518 v2 · 2011-08-06 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6SGIDMH765R6OQHNG2IBKCGKNA}

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	2026-05-18T01:16:54.906291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f48c81b0fff763e740ed36901508ca682ad57a6a60e14467af609a4ff8f185ae

Aliases

arxiv: 1108.1518 · arxiv_version: 1108.1518v2 · doi: 10.48550/arxiv.1108.1518 · pith_short_12: 6SGIDMH765R6 · pith_short_16: 6SGIDMH765R6OQHN · pith_short_8: 6SGIDMH7

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/6SGIDMH765R6OQHNG2IBKCGKNA \
  | 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: f48c81b0fff763e740ed36901508ca682ad57a6a60e14467af609a4ff8f185ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eec36c6e86a72e656036336e7ce4f11a0714c130a14b3f246c94d29bb137c21",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-06T23:55:47Z",
    "title_canon_sha256": "a838a636dee2dd2624e43f76c6f540dab4b5846eb502611efb88c032267013ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1518",
    "kind": "arxiv",
    "version": 2
  }
}