Pith Number

pith:FS25G6WQ

pith:2026:FS25G6WQRTFNHZ2EQDP5X44QYP

not attested not anchored not stored refs pending

Bilinear embedding for divergence-form operators with first-order terms and negative potentials

Andrea Poggio, Lorenzo Luciano Morelato

arxiv:2605.14699 v1 · 2026-05-14 · math.AP · math.CA · 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{FS25G6WQRTFNHZ2EQDP5X44QYP}

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	2026-05-17T23:38:59.345433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb5d37ad08ccad3e74480dfdbf390c3cd5e28653d39ea97cf5faa1cf82fd658

Aliases

arxiv: 2605.14699 · arxiv_version: 2605.14699v1 · doi: 10.48550/arxiv.2605.14699 · pith_short_12: FS25G6WQRTFN · pith_short_16: FS25G6WQRTFNHZ2E · pith_short_8: FS25G6WQ

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/FS25G6WQRTFNHZ2EQDP5X44QYP \
  | 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: 2cb5d37ad08ccad3e74480dfdbf390c3cd5e28653d39ea97cf5faa1cf82fd658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "262bfe3949d6f58a981ead40fbc41050005fca6480235133eaea0a1db9172305",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-14T11:14:03Z",
    "title_canon_sha256": "b45508c83e0988eaa9e1a1bb7f93542303d4a598d9cd10d9a13dbe23c514f0db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14699",
    "kind": "arxiv",
    "version": 1
  }
}