Pith Number

pith:7TN3DJHA

pith:2012:7TN3DJHAMT36K5ZE6BHMDJJ3HO

not attested not anchored not stored refs pending

Pisier's inequality revisited

Assaf Naor, Tuomas Hyt\"onen

arxiv:1207.5375 v2 · 2012-07-23 · 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{7TN3DJHAMT36K5ZE6BHMDJJ3HO}

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	2026-05-18T03:25:46.465208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcdbb1a4e064f7e57724f04ec1a53b3ba71272f4c1f979396a1bef00c5493793

Aliases

arxiv: 1207.5375 · arxiv_version: 1207.5375v2 · doi: 10.48550/arxiv.1207.5375 · pith_short_12: 7TN3DJHAMT36 · pith_short_16: 7TN3DJHAMT36K5ZE · pith_short_8: 7TN3DJHA

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/7TN3DJHAMT36K5ZE6BHMDJJ3HO \
  | 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: fcdbb1a4e064f7e57724f04ec1a53b3ba71272f4c1f979396a1bef00c5493793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a3ac5f6cf83b21c9654479b028ef20bf502044ec26218ca8219b4dbbb6d6e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-07-23T12:55:21Z",
    "title_canon_sha256": "fc3f6d092662c4fdbe0ce184b8ee07e869de473deb13c8bf80ebf510e5aea7fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5375",
    "kind": "arxiv",
    "version": 2
  }
}