Pith Number

pith:MGL6LL36

pith:2026:MGL6LL36JIN4SMYCBP4FPZBSZ3

not attested not anchored not stored refs pending

Potential Estimates and Hodge Systems with $L^1$ data on compact manifolds

Daniel Spector, Felipe Hern\'andez, Jesse Goodman

arxiv:2606.12891 v1 · 2026-06-11 · math.AP · 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{MGL6LL36JIN4SMYCBP4FPZBSZ3}

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	2026-06-12T01:08:57.178941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6197e5af7e4a1bc933020bf857e432ced7235c6caf0cf2cfc112a99a4c6e8eae

Aliases

arxiv: 2606.12891 · arxiv_version: 2606.12891v1 · doi: 10.48550/arxiv.2606.12891 · pith_short_12: MGL6LL36JIN4 · pith_short_16: MGL6LL36JIN4SMYC · pith_short_8: MGL6LL36

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/MGL6LL36JIN4SMYCBP4FPZBSZ3 \
  | 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: 6197e5af7e4a1bc933020bf857e432ced7235c6caf0cf2cfc112a99a4c6e8eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4bf80bc5c99e4067d7ddb32bde7f84f7597eb7ad74857d305f3cd1e0026524a",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-11T04:36:22Z",
    "title_canon_sha256": "854674a38a2f6eb7ec561f82fd894f8b525d8a2c429964f632fdc5249554ef44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12891",
    "kind": "arxiv",
    "version": 1
  }
}