Pith Number

pith:R4HOIQRA

pith:2010:R4HOIQRATCXXY7I4GLOBOZOM3K

not attested not anchored not stored refs pending

Essential self-adjointness for combinatorial Schr\"odinger operators II- Metrically non complete graphs

Francoise Truc (IF), ISIG-K), Nabila Torki-Hamza (05/UR/15-02, Yves Colin De Verdi\`ere (IF)

arxiv:1006.5778 v3 · 2010-06-30 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4HOIQRATCXXY7I4GLOBOZOM3K}

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	2026-05-18T03:32:06.181449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0ee4422098af7c7d1c32dc1765ccdaa3cdf100d55a815e0f9ca7d7d0b2b417

Aliases

arxiv: 1006.5778 · arxiv_version: 1006.5778v3 · doi: 10.48550/arxiv.1006.5778 · pith_short_12: R4HOIQRATCXX · pith_short_16: R4HOIQRATCXXY7I4 · pith_short_8: R4HOIQRA

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/R4HOIQRATCXXY7I4GLOBOZOM3K \
  | 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: 8f0ee4422098af7c7d1c32dc1765ccdaa3cdf100d55a815e0f9ca7d7d0b2b417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a7b680e1d74f233096ea15018e08f7275f453a5c9ad8e4dffd5e2a1c84438c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-06-30T06:47:10Z",
    "title_canon_sha256": "727e881d5e54a5e9d4410f10f673919d1f28fb732d109a07cd55ca8a11dd2c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5778",
    "kind": "arxiv",
    "version": 3
  }
}