Pith Number

pith:TF4OFZQJ

pith:2019:TF4OFZQJMYAWUALK7TNH6GMQIN

not attested not anchored not stored refs pending

$L^1$-Poincar\'e inequalities for differential forms on Euclidean spaces and Heisenberg groups

Annalisa Baldi, Bruno Franchi, Pierre Pansu (LM-Orsay)

arxiv:1902.04819 v1 · 2019-02-13 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TF4OFZQJMYAWUALK7TNH6GMQIN}

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	2026-05-17T23:54:05.829106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9978e2e60966016a016afcda7f1990437c331e388cd9027d820c928200e9c76d

Aliases

arxiv: 1902.04819 · arxiv_version: 1902.04819v1 · doi: 10.48550/arxiv.1902.04819 · pith_short_12: TF4OFZQJMYAW · pith_short_16: TF4OFZQJMYAWUALK · pith_short_8: TF4OFZQJ

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/TF4OFZQJMYAWUALK7TNH6GMQIN \
  | 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: 9978e2e60966016a016afcda7f1990437c331e388cd9027d820c928200e9c76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba1ed9527ed6c0e63932e16c26cef76edb6d249298fcf2b6169f2df43ac188f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-02-13T09:54:01Z",
    "title_canon_sha256": "912adc45de609c205b0f877fa171bde3723bcf46d500f54b6e820874a5164b0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04819",
    "kind": "arxiv",
    "version": 1
  }
}