Pith Number

pith:MLLTFXU5

pith:2021:MLLTFXU524XOIX5A6L5PEZGVV6

not attested not anchored not stored refs pending

A Moser/Bernstein type theorem in a Lie group with a left invariant metric under a gradient decay condition

Ari Aiolfi, Jaime Ripoll, Leonardo Bonorino, Marc Soret, Marina Ville

arxiv:2108.02844 v1 · 2021-08-05 · 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{MLLTFXU524XOIX5A6L5PEZGVV6}

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	2026-07-05T03:03:42.779171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d732de9dd72ee45fa0f2faf264d5af914befeba1efdb59864381fe9bc39c12

Aliases

arxiv: 2108.02844 · arxiv_version: 2108.02844v1 · doi: 10.48550/arxiv.2108.02844 · pith_short_12: MLLTFXU524XO · pith_short_16: MLLTFXU524XOIX5A · pith_short_8: MLLTFXU5

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/MLLTFXU524XOIX5A6L5PEZGVV6 \
  | 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: 62d732de9dd72ee45fa0f2faf264d5af914befeba1efdb59864381fe9bc39c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c7c06db2c637a48d1fca3a7424c0d86643c7e705a0b398ca265c9dbc6200d07",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-08-05T20:52:48Z",
    "title_canon_sha256": "59999b1267650ab1d88f7319e786373357918087e39502c65a7c2555466f2192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02844",
    "kind": "arxiv",
    "version": 1
  }
}