Pith Number

pith:7IXJRPB3

pith:2010:7IXJRPB3JALVAEC363AJQINZZC

not attested not anchored not stored refs pending

Numerical ranges of $C_0(N)$ contractions

Chafiq Benhida, Dan Timotin, Pamela Gorkin

arxiv:1009.2249 v2 · 2010-09-12 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IXJRPB3JALVAEC363AJQINZZC}

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	2026-05-18T04:34:18.108740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa2e98bc3b481750105bf6c09821b9c893e2564f7325ac80ed6778c0f8b8492b

Aliases

arxiv: 1009.2249 · arxiv_version: 1009.2249v2 · doi: 10.48550/arxiv.1009.2249 · pith_short_12: 7IXJRPB3JALV · pith_short_16: 7IXJRPB3JALVAEC3 · pith_short_8: 7IXJRPB3

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/7IXJRPB3JALVAEC363AJQINZZC \
  | 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: fa2e98bc3b481750105bf6c09821b9c893e2564f7325ac80ed6778c0f8b8492b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fb3c99943a7fbde305165dcd0cc42d9361fabed6bfcf4a501da431bbb6d7da0",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-12T17:03:35Z",
    "title_canon_sha256": "6f03ed89138562e7294bca6fadcb37ab6f53eeae8269c72e2ee8fa5333136673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2249",
    "kind": "arxiv",
    "version": 2
  }
}