Pith Number

pith:AVYZQYMS

pith:2016:AVYZQYMSZ2IKLHISWQT5TDFH63

not attested not anchored not stored refs pending

Atomic decomposition and weak factorization in generalized Hardy spaces of closed forms

Aline Bonami (MAPMO), Justin Feuto, Luong Dang Ky, Sandrine Grellier (MAPMO)

arxiv:1601.03856 v1 · 2016-01-15 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVYZQYMSZ2IKLHISWQT5TDFH63}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:22:49.836980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0571986192ce90a59d12b427d98ca7f6d0f96b8b052cf98278d5b4251b3a4bc6

Aliases

arxiv: 1601.03856 · arxiv_version: 1601.03856v1 · doi: 10.48550/arxiv.1601.03856 · pith_short_12: AVYZQYMSZ2IK · pith_short_16: AVYZQYMSZ2IKLHIS · pith_short_8: AVYZQYMS

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/AVYZQYMSZ2IKLHISWQT5TDFH63 \
  | 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: 0571986192ce90a59d12b427d98ca7f6d0f96b8b052cf98278d5b4251b3a4bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c385f53154010d981996ac4e18d87ce2c1a0c2150334b06e8fc1a3ce88773bea",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-15T09:59:37Z",
    "title_canon_sha256": "39a3f229fd133828b28109cee055e30c26b96e25ac50ed600cecb2bb98102090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03856",
    "kind": "arxiv",
    "version": 1
  }
}