Pith Number

pith:TMU3FKYM

pith:2012:TMU3FKYMWVE6OSOSI4TZ2BWDDR

not attested not anchored not stored refs pending

Multilinear local Tb for Square functions

Ana Grau de la Herran, Jarod Hart, Lucas Oliveira

arxiv:1210.0735 v2 · 2012-10-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMU3FKYMWVE6OSOSI4TZ2BWDDR}

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	2026-05-18T03:44:05.084327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b29b2ab0cb549e749d247279d06c31c5d387b2466133304ffec8cb284061288

Aliases

arxiv: 1210.0735 · arxiv_version: 1210.0735v2 · doi: 10.48550/arxiv.1210.0735 · pith_short_12: TMU3FKYMWVE6 · pith_short_16: TMU3FKYMWVE6OSOS · pith_short_8: TMU3FKYM

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/TMU3FKYMWVE6OSOSI4TZ2BWDDR \
  | 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: 9b29b2ab0cb549e749d247279d06c31c5d387b2466133304ffec8cb284061288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a1ca5b7b313e1a103398f98121f138d9f22e7a446c199dacb34a7be9551c6fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-10-02T11:38:44Z",
    "title_canon_sha256": "431328ea374167d55fdb868fd426db83baa9c1b7f8baac8e4d0326a0b8e393a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0735",
    "kind": "arxiv",
    "version": 2
  }
}