Pith Number

pith:6DNWYRG5

pith:2012:6DNWYRG5VANT3DTITMVDWIY5IE

not attested not anchored not stored refs pending

A Note on Coulhon type inequalities

Joaquim Martin, Mario Milman

arxiv:1206.1584 v2 · 2012-06-07 · 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{6DNWYRG5VANT3DTITMVDWIY5IE}

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	2026-05-18T00:43:38.088501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0db6c44dda81b3d8e689b2a3b231d411163f13eaf0d3222bd7fcc7f2fb8c1d5

Aliases

arxiv: 1206.1584 · arxiv_version: 1206.1584v2 · doi: 10.48550/arxiv.1206.1584 · pith_short_12: 6DNWYRG5VANT · pith_short_16: 6DNWYRG5VANT3DTI · pith_short_8: 6DNWYRG5

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/6DNWYRG5VANT3DTITMVDWIY5IE \
  | 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: f0db6c44dda81b3d8e689b2a3b231d411163f13eaf0d3222bd7fcc7f2fb8c1d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc14017009aa3b2ce6271cff68782f208fbc3c26a8be9770fcfc7f97644b60e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-07T19:22:49Z",
    "title_canon_sha256": "2087a059f67f698ead5249a1dd9e0e76377bed279a6e12a3b452ad8917278645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1584",
    "kind": "arxiv",
    "version": 2
  }
}