Pith Number

pith:MTCGXACD

pith:2010:MTCGXACDF4FO2F6AG7FJMX6AXG

not attested not anchored not stored refs pending

Pointwise estimates for the ground states of some classes of positivity preserving operators

Ali Beldi, Ali BenAmor, Nedra Belhadjrhouma

arxiv:1009.0469 v1 · 2010-09-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTCGXACDF4FO2F6AG7FJMX6AXG}

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	2026-05-18T04:41:26.594132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64c46b80432f0aed17c037ca965fc0b98dade7611e6bf12a430e8a392ad733ce

Aliases

arxiv: 1009.0469 · arxiv_version: 1009.0469v1 · doi: 10.48550/arxiv.1009.0469 · pith_short_12: MTCGXACDF4FO · pith_short_16: MTCGXACDF4FO2F6A · pith_short_8: MTCGXACD

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/MTCGXACDF4FO2F6AG7FJMX6AXG \
  | 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: 64c46b80432f0aed17c037ca965fc0b98dade7611e6bf12a430e8a392ad733ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78affbe4dee2c92be87d78f0f7deefb03b5ea05941a2783ac81d2c82dd4dad8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-02T16:37:36Z",
    "title_canon_sha256": "2a5430188bd3c188149c96ba6179a9e4d96f3abf678f349857ba979bddacc597"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0469",
    "kind": "arxiv",
    "version": 1
  }
}